Sodiqi.com - Cryptarithm, atau yang juga dikenal dengan istilah alphametic, adalah sebuah jenis teka-teki matematika di mana huruf digunakan untuk menggantikan angka dalam operasi aritmetika. Secara etimologi, kata "cryptarithm" berasal dari dua kata dalam bahasa Yunani, yaitu "kryptos" yang berarti "tersembunyi" dan "arithmos" yang berarti "angka". Jadi, cryptarithm berarti "angka yang tersembunyi".
Dalam terminologi matematika, cryptarithm adalah sebuah puzzle atau teka-teki di mana angka dalam sebuah persamaan matematika digantikan dengan huruf. Setiap huruf mewakili angka yang unik dari 0 sampai 9. Tujuan dari teka-teki ini adalah untuk menemukan nilai dari setiap huruf sehingga persamaan tersebut valid secara matematis. Teka-teki ini menguji kemampuan pemecahan masalah dan pengetahuan aritmetika dasar seseorang.
1. AB + BA = CCC
A = 9, B = 0, C = 8
90 + 09 = 180
2. CO + DE = HIJ
C = 8, O = 3, D = 4, E = 1, H = 1, I = 2, J = 5
83 + 41 = 125
3. EAT + THAT = APPLE
E = 1, A = 9, T = 5, H = 0, P = 2, L = 8
195 + 905 = 2108
4. STAR + WARS = SPACE
S = 9, T = 2, A = 3, R = 4, W = 1, P = 6, C = 7, E = 0
9234 + 1439 = 10670
5. FOUR + FIVE = NINE
F = 8, O = 2, U = 3, R = 5, I = 0, V = 9, E = 6, N = 1
8235 + 8096 = 16331
6. JUNE + JULY = SUMMER
J = 1, U = 0, N = 7, E = 8, L = 9, Y = 5, S = 6, M = 2, R = 3
1078 + 1095 = 2173
7. HEAT + WAVE = BEACH
H = 9, E = 3, A = 1, T = 4, W = 2, V = 0, B = 5, C = 8
9314 + 2100 = 5418
8. LION + TIGER = ANIMAL
L = 8, I = 1, O = 0, N = 7, T = 9, G = 3, E = 4, R = 5, A = 6, M = 2
8107 + 93145 = 101252
9. PEAR + PLUM = FRUIT
P = 5, E = 1, A = 4, R = 6, L = 9, U = 2, M = 3, F = 7, T = 0
5146 + 5932 = 71078
10. CORN + MAIZE = CROPS
C = 8, O = 2, R = 5, N = 1, M = 7, A = 9, I = 0, Z = 6, E = 4, P = 3, S = 8
8251 + 79064 = 87315
11. CROSS + ROADS = DANGER
C = 9, R = 1, O = 0, S = 2, A = 4, D = 5, N = 6, G = 7, E = 3
9122 + 1045 = 14167
12. DUCK + SWAN = BIRDS
D = 8, U = 2, C = 1, K = 0, S = 3, W = 9, A = 7, N = 5, B = 6, I = 4, R = 2
8210 + 3975 = 12185
13. MOON + SUN = LIGHT
M = 6, O = 2, N = 1, S = 3, U = 9, L = 5, I = 0, G = 8, H = 7, T = 4
6221 + 392 = 5613
14. KING + QUEEN = ROYAL
K = 1, I = 7, N = 6, G = 2, Q = 3, U = 0, E = 9, R = 8, O = 5, Y = 4, L = 2
1762 + 3099 = 4821
15. BLINK + CLUE = PUZZLE
B = 7, L = 1, I = 9, N = 0, K = 8, C = 2, U = 5, E = 4, P = 6, Z = 3
71908 + 2504 = 74412
16. FISH + WORM = OCEAN
F = 2, I = 0, S = 8, H = 1, W = 9, O = 3, R = 7, M = 6, C = 4, E = 5, A = 9
2081 + 9376 = 11459
17. LOVE + CARE = HEART
L = 6, O = 1, V = 9, E = 4, C = 5, A = 0, R = 3, H = 8, T = 2
6194 + 5034 = 11228
18. TRAIN + TRACK = ENGINE
T = 4, R = 9, A = 1, I = 0, N = 2, C = 3, K = 5, E = 8, G = 7
41902 + 41935 = 83837
19. CHOIR + OPERA = MUSIC
C = 8, H = 1, O = 2, I = 0, R = 9, P = 7, E = 3, A = 6, M = 5, U = 4, S = 9
81029 + 7236 = 88265
20. STORM + RAIN = WEATHER
S = 7, T = 9, O = 5, R = 1, M = 8, A = 0, I = 4, N = 3, W = 2, E = 6, H = 0
79518 + 1043 = 80561
21. CHART + GRAPH = PICTURE
C = 3, H = 8, A = 9, R = 1, T = 6, G = 2, P = 5, I = 0, U = 7, E = 4
38196 + 29183 = 67379
22. SHARK + WHALE = OCEANS
S = 8, H = 3, A = 9, R = 0, K = 4, W = 5, L = 1, E = 6, O = 2, C = 7, N = 2
83904 + 51916 = 235820
23. PIZZA + PASTA = ITALIAN
P = 8, I = 9, Z = 0, A = 1, S = 3, T = 4, L = 7, N = 6
80113 + 83141 = 964257
24. IDEA + MIND = THOUGHT
I = 4, D = 9, E = 5, A = 0, M = 1, N = 2, T = 3, H = 7, O = 8, U = 6, G = 1
4590 + 1290 = 38871
25. SUGAR + SPICE = FLAVOR
S = 7, U = 2, G = 1, A = 8, R = 3, P = 4, I = 0, C = 6, E = 5, F = 9, L = 8, V = 1, O = 3
72183 + 40685 = 912863
26. NORTH + SOUTH = GLOBE
N = 3, O = 1, R = 6, T = 2, H = 8, S = 4, U = 7, G = 9, L = 0, B = 5, E = 1
31628 + 41781 = 941011
27. CLOCK + WATCH = MINUTE
C = 8, L = 0, O = 2, K = 9, W = 1, A = 3, T = 4, H = 7, M = 5, I = 6, N = 1, U = 2, E = 9
8029 + 1347 = 529169
28. CRISP + SALAD = HEALTHY
C = 9, R = 8, I = 7, S = 2, P = 5, A = 1, L = 3, D = 0, H = 4, E = 6, T = 7, Y = 2
98725 + 21310 = 120042
29. LEMON + MELON = FRUITS
L = 8, E = 9, M = 2, O = 1, N = 3, F = 7, R = 6, U = 4, I = 5, T = 0, S = 9
89123 + 29183 = 731902
30. STEEL + ALLOY = METALS
S = 1, T = 9, E = 8, L = 7, A = 0, O = 4, Y = 6, M = 3, R = 2
19877 + 07476 = 273653
31. EARTH + PLANT = NATURE
E = 9, A = 1, R = 7, T = 6, H = 5, P = 2, L = 8, N = 0, U = 4
91765 + 28105 = 119870
32. PIANO + OPERA = MELODY
P = 8, I = 1, A = 0, N = 2, O = 3, E = 5, R = 7, M = 6, L = 4, D = 9, Y = 6
81023 + 5373 = 86396
33. QUEST + SOLVE = ANSWER
Q = 9, U = 1, E = 7, S = 2, T = 0, O = 8, L = 3, V = 6, A = 4, N = 5, W = 9, R = 2
91720 + 83602 = 175322
34. BEACH + SAND = RESORT
B = 1, E = 9, A = 0, C = 8, H = 4, S = 2, N = 7, D = 3, R = 5, O = 6, T = 9
19084 + 273 = 56359
35. ROCK + ROLL = MUSIC
R = 6, O = 1, C = 2, K = 7, L = 3, M = 5, U = 8, S = 9, I = 4
6127 + 6133 = 53201
36. FLASH + LIGHT = BRIGHT
F = 8, L = 1, A = 9, S = 7, H = 2, I = 6, G = 0, T = 5, B = 3, R = 4
81972 + 1605 = 43575
37. CHESS + BOARD = GAMES
C = 9, H = 2, E = 1, S = 7, B = 8, O = 6, A = 0, R = 4, D = 3, G = 5, M = 4
9217 + 86043 = 95260
38. RIVER + LAKE = WATER
R = 2, I = 8, V = 0, E = 3, L = 4, A = 6, K = 1, W = 7, T = 9
2803 + 461 = 7794
39. DREAM + REALM = WORLD
D = 8, R = 1, E = 2, A = 9, M = 3, L = 4, O = 5, W = 6
81293 + 19243 = 60536
40. STAMP + MAIL = POSTAL
S = 3, T = 9, A = 2, M = 7, P = 1, I = 8, L = 4, O = 0
39721 + 7284 = 47005
41. TRAIN + PLANE = VEHICLE
T = 6, R = 1, A = 9, I = 3, N = 7, P = 2, L = 5, E = 0, V = 4, H = 8, C = 6
61937 + 2590 = 84627
42. FLAME + FIRE = ASHES
F = 8, L = 1, A = 9, M = 2, E = 0, I = 4, R = 5, S = 6, H = 3
81920 + 450 = 86370
43. MOUSE + RAT = ANIMAL
M = 6, O = 3, U = 7, S = 8, E = 1, R = 2, A = 0, T = 4, N = 9, I = 5, L = 2
63781 + 204 = 63985
44. GRAIN + FARM = HARVEST
G = 8, R = 2, A = 3, I = 6, N = 9, F = 7, M = 0, H = 1, V = 5, E = 4, S = 0
82369 + 730 = 190094
45. SHINE + GLOW = LIGHT
S = 8, H = 1, I = 9, N = 2, E = 3, G = 4, L = 0, W = 5, T = 6
81923 + 459 = 8603
46. BREAD + DOUGH = BAKERY
B = 9, R = 1, E = 8, A = 3, D = 7, O = 0, U = 4, G = 2, H = 5, K = 6, Y = 0
91837 + 70425 = 96230
47. SPEAK + LISTEN = MESSAGE
S = 8, P = 4, E = 7, A = 3, K = 1, L = 9, I = 6, T = 0, N = 2, M = 5
84731 + 96302 = 181033
48. CORAL + REEF = OCEAN
C = 7, O = 4, R = 3, A = 1, L = 2, E = 0, F = 6, N = 8
7312 + 3006 = 10318
49. APPLE + PEAR = FRUITS
A = 3, P = 1, L = 5, E = 0, R = 8, F = 9, U = 2, I = 4, S = 7, T = 6
3150 + 318 = 9467
50. COMET + STAR = COSMOS
C = 8, O = 1, M = 0, E = 4, T = 5, S = 9, A = 3, R = 7
80145 + 9317 = 89462
Analisis Awal:
Dalam terminologi matematika, cryptarithm adalah sebuah puzzle atau teka-teki di mana angka dalam sebuah persamaan matematika digantikan dengan huruf. Setiap huruf mewakili angka yang unik dari 0 sampai 9. Tujuan dari teka-teki ini adalah untuk menemukan nilai dari setiap huruf sehingga persamaan tersebut valid secara matematis. Teka-teki ini menguji kemampuan pemecahan masalah dan pengetahuan aritmetika dasar seseorang.
50 Contoh Soal Cryptarithm dan Jawabannya
Berikut adalah beberapa contoh soal cryptarithm sederhana dan jawabannya:1. AB + BA = CCC
A = 9, B = 0, C = 8
90 + 09 = 180
2. CO + DE = HIJ
C = 8, O = 3, D = 4, E = 1, H = 1, I = 2, J = 5
83 + 41 = 125
3. EAT + THAT = APPLE
E = 1, A = 9, T = 5, H = 0, P = 2, L = 8
195 + 905 = 2108
4. STAR + WARS = SPACE
S = 9, T = 2, A = 3, R = 4, W = 1, P = 6, C = 7, E = 0
9234 + 1439 = 10670
5. FOUR + FIVE = NINE
F = 8, O = 2, U = 3, R = 5, I = 0, V = 9, E = 6, N = 1
8235 + 8096 = 16331
6. JUNE + JULY = SUMMER
J = 1, U = 0, N = 7, E = 8, L = 9, Y = 5, S = 6, M = 2, R = 3
1078 + 1095 = 2173
7. HEAT + WAVE = BEACH
H = 9, E = 3, A = 1, T = 4, W = 2, V = 0, B = 5, C = 8
9314 + 2100 = 5418
8. LION + TIGER = ANIMAL
L = 8, I = 1, O = 0, N = 7, T = 9, G = 3, E = 4, R = 5, A = 6, M = 2
8107 + 93145 = 101252
9. PEAR + PLUM = FRUIT
P = 5, E = 1, A = 4, R = 6, L = 9, U = 2, M = 3, F = 7, T = 0
5146 + 5932 = 71078
10. CORN + MAIZE = CROPS
C = 8, O = 2, R = 5, N = 1, M = 7, A = 9, I = 0, Z = 6, E = 4, P = 3, S = 8
8251 + 79064 = 87315
11. CROSS + ROADS = DANGER
C = 9, R = 1, O = 0, S = 2, A = 4, D = 5, N = 6, G = 7, E = 3
9122 + 1045 = 14167
12. DUCK + SWAN = BIRDS
D = 8, U = 2, C = 1, K = 0, S = 3, W = 9, A = 7, N = 5, B = 6, I = 4, R = 2
8210 + 3975 = 12185
13. MOON + SUN = LIGHT
M = 6, O = 2, N = 1, S = 3, U = 9, L = 5, I = 0, G = 8, H = 7, T = 4
6221 + 392 = 5613
14. KING + QUEEN = ROYAL
K = 1, I = 7, N = 6, G = 2, Q = 3, U = 0, E = 9, R = 8, O = 5, Y = 4, L = 2
1762 + 3099 = 4821
15. BLINK + CLUE = PUZZLE
B = 7, L = 1, I = 9, N = 0, K = 8, C = 2, U = 5, E = 4, P = 6, Z = 3
71908 + 2504 = 74412
16. FISH + WORM = OCEAN
F = 2, I = 0, S = 8, H = 1, W = 9, O = 3, R = 7, M = 6, C = 4, E = 5, A = 9
2081 + 9376 = 11459
17. LOVE + CARE = HEART
L = 6, O = 1, V = 9, E = 4, C = 5, A = 0, R = 3, H = 8, T = 2
6194 + 5034 = 11228
18. TRAIN + TRACK = ENGINE
T = 4, R = 9, A = 1, I = 0, N = 2, C = 3, K = 5, E = 8, G = 7
41902 + 41935 = 83837
19. CHOIR + OPERA = MUSIC
C = 8, H = 1, O = 2, I = 0, R = 9, P = 7, E = 3, A = 6, M = 5, U = 4, S = 9
81029 + 7236 = 88265
20. STORM + RAIN = WEATHER
S = 7, T = 9, O = 5, R = 1, M = 8, A = 0, I = 4, N = 3, W = 2, E = 6, H = 0
79518 + 1043 = 80561
21. CHART + GRAPH = PICTURE
C = 3, H = 8, A = 9, R = 1, T = 6, G = 2, P = 5, I = 0, U = 7, E = 4
38196 + 29183 = 67379
22. SHARK + WHALE = OCEANS
S = 8, H = 3, A = 9, R = 0, K = 4, W = 5, L = 1, E = 6, O = 2, C = 7, N = 2
83904 + 51916 = 235820
23. PIZZA + PASTA = ITALIAN
P = 8, I = 9, Z = 0, A = 1, S = 3, T = 4, L = 7, N = 6
80113 + 83141 = 964257
24. IDEA + MIND = THOUGHT
I = 4, D = 9, E = 5, A = 0, M = 1, N = 2, T = 3, H = 7, O = 8, U = 6, G = 1
4590 + 1290 = 38871
25. SUGAR + SPICE = FLAVOR
S = 7, U = 2, G = 1, A = 8, R = 3, P = 4, I = 0, C = 6, E = 5, F = 9, L = 8, V = 1, O = 3
72183 + 40685 = 912863
26. NORTH + SOUTH = GLOBE
N = 3, O = 1, R = 6, T = 2, H = 8, S = 4, U = 7, G = 9, L = 0, B = 5, E = 1
31628 + 41781 = 941011
27. CLOCK + WATCH = MINUTE
C = 8, L = 0, O = 2, K = 9, W = 1, A = 3, T = 4, H = 7, M = 5, I = 6, N = 1, U = 2, E = 9
8029 + 1347 = 529169
28. CRISP + SALAD = HEALTHY
C = 9, R = 8, I = 7, S = 2, P = 5, A = 1, L = 3, D = 0, H = 4, E = 6, T = 7, Y = 2
98725 + 21310 = 120042
29. LEMON + MELON = FRUITS
L = 8, E = 9, M = 2, O = 1, N = 3, F = 7, R = 6, U = 4, I = 5, T = 0, S = 9
89123 + 29183 = 731902
30. STEEL + ALLOY = METALS
S = 1, T = 9, E = 8, L = 7, A = 0, O = 4, Y = 6, M = 3, R = 2
19877 + 07476 = 273653
31. EARTH + PLANT = NATURE
E = 9, A = 1, R = 7, T = 6, H = 5, P = 2, L = 8, N = 0, U = 4
91765 + 28105 = 119870
32. PIANO + OPERA = MELODY
P = 8, I = 1, A = 0, N = 2, O = 3, E = 5, R = 7, M = 6, L = 4, D = 9, Y = 6
81023 + 5373 = 86396
33. QUEST + SOLVE = ANSWER
Q = 9, U = 1, E = 7, S = 2, T = 0, O = 8, L = 3, V = 6, A = 4, N = 5, W = 9, R = 2
91720 + 83602 = 175322
34. BEACH + SAND = RESORT
B = 1, E = 9, A = 0, C = 8, H = 4, S = 2, N = 7, D = 3, R = 5, O = 6, T = 9
19084 + 273 = 56359
35. ROCK + ROLL = MUSIC
R = 6, O = 1, C = 2, K = 7, L = 3, M = 5, U = 8, S = 9, I = 4
6127 + 6133 = 53201
36. FLASH + LIGHT = BRIGHT
F = 8, L = 1, A = 9, S = 7, H = 2, I = 6, G = 0, T = 5, B = 3, R = 4
81972 + 1605 = 43575
37. CHESS + BOARD = GAMES
C = 9, H = 2, E = 1, S = 7, B = 8, O = 6, A = 0, R = 4, D = 3, G = 5, M = 4
9217 + 86043 = 95260
38. RIVER + LAKE = WATER
R = 2, I = 8, V = 0, E = 3, L = 4, A = 6, K = 1, W = 7, T = 9
2803 + 461 = 7794
39. DREAM + REALM = WORLD
D = 8, R = 1, E = 2, A = 9, M = 3, L = 4, O = 5, W = 6
81293 + 19243 = 60536
40. STAMP + MAIL = POSTAL
S = 3, T = 9, A = 2, M = 7, P = 1, I = 8, L = 4, O = 0
39721 + 7284 = 47005
41. TRAIN + PLANE = VEHICLE
T = 6, R = 1, A = 9, I = 3, N = 7, P = 2, L = 5, E = 0, V = 4, H = 8, C = 6
61937 + 2590 = 84627
42. FLAME + FIRE = ASHES
F = 8, L = 1, A = 9, M = 2, E = 0, I = 4, R = 5, S = 6, H = 3
81920 + 450 = 86370
43. MOUSE + RAT = ANIMAL
M = 6, O = 3, U = 7, S = 8, E = 1, R = 2, A = 0, T = 4, N = 9, I = 5, L = 2
63781 + 204 = 63985
44. GRAIN + FARM = HARVEST
G = 8, R = 2, A = 3, I = 6, N = 9, F = 7, M = 0, H = 1, V = 5, E = 4, S = 0
82369 + 730 = 190094
45. SHINE + GLOW = LIGHT
S = 8, H = 1, I = 9, N = 2, E = 3, G = 4, L = 0, W = 5, T = 6
81923 + 459 = 8603
46. BREAD + DOUGH = BAKERY
B = 9, R = 1, E = 8, A = 3, D = 7, O = 0, U = 4, G = 2, H = 5, K = 6, Y = 0
91837 + 70425 = 96230
47. SPEAK + LISTEN = MESSAGE
S = 8, P = 4, E = 7, A = 3, K = 1, L = 9, I = 6, T = 0, N = 2, M = 5
84731 + 96302 = 181033
48. CORAL + REEF = OCEAN
C = 7, O = 4, R = 3, A = 1, L = 2, E = 0, F = 6, N = 8
7312 + 3006 = 10318
49. APPLE + PEAR = FRUITS
A = 3, P = 1, L = 5, E = 0, R = 8, F = 9, U = 2, I = 4, S = 7, T = 6
3150 + 318 = 9467
50. COMET + STAR = COSMOS
C = 8, O = 1, M = 0, E = 4, T = 5, S = 9, A = 3, R = 7
80145 + 9317 = 89462
Langkah-langkah umum untuk menyelesaikan cryptarithm:
- Identifikasi Huruf Unik: Catat semua huruf yang digunakan dalam soal. Setiap huruf mewakili angka yang berbeda.
- Analisis Kemungkinan Awal: Lihat huruf yang muncul di tempat paling kiri (digit terbesar) karena biasanya ada batasan yang bisa membantu mempersempit pilihan. Misalnya, dalam penjumlahan, huruf yang muncul di paling kiri (jika mewakili hasil) tidak bisa kecil.
- Mulai dengan Asumsi Logis: Buat beberapa asumsi logis berdasarkan posisi huruf. Contoh, jika suatu huruf muncul sebagai hasil dari penjumlahan dua huruf lain, dan semua berada di posisi paling kiri, nilai huruf tersebut harus cukup besar.
- Gunakan Pencocokan dan Pengurangan: Cobalah berbagai kombinasi angka untuk huruf-huruf tersebut dan lihat apakah mereka menghasilkan hasil yang valid sesuai dengan operasi matematika. Ini mungkin memerlukan beberapa coba-coba.
- Periksa dan Sesuaikan: Setiap kali kamu mencoba kombinasi angka, periksa apakah itu memenuhi semua kondisi soal. Jika tidak, sesuaikan asumsi kamu dan coba kombinasi yang berbeda.
- Validasi Solusi: Setelah menemukan kombinasi yang tampaknya bekerja, gantikan huruf dengan angka dan periksa kembali operasi matematikanya untuk memastikan semua cocok dengan benar.
- Uji dengan Contoh Lain: Kadang solusi yang ditemukan bisa saja tidak unik. Coba test dengan soal cryptarithm lain atau dengan kondisi berbeda untuk melihat apakah solusi kamu berlaku secara umum atau spesifik untuk satu kasus saja.
Contoh Penyelesaiannya
SEND+ MORE-------MONEY{codeBox}
Langkah Penyelesaian
Identifikasi Huruf Unik:
Huruf-huruf yang digunakan adalah S, E, N, D, M, O, R, Y.
Analisis Awal:
M harus 1 karena hasil penjumlahan SEND dan MORE adalah MONEY, yang memiliki satu digit lebih banyak dan dimulai dengan M.
Asumsi dan Logika:
O tidak bisa 0 karena M sudah 1. Juga, karena ada carry over ke digit berikutnya, O harus cukup besar. Misal kita coba O = 0 (tapi kita tahu M = 1, jadi coba nilai lain setelah langkah berikutnya).
E + O menghasilkan Y. Jika tidak ada carry dari N+R, Y adalah E+O, atau E+O-10 jika ada carry.
Coba-Coba:
Dengan M = 1, kita mulai dengan beberapa nilai untuk E dan O yang masuk akal (misal, E = 5, O = 8).
Iterasi dan Koreksi:
S dan N harus cukup besar karena mereka berada di posisi ribuan dan ratusan.
Jika E = 5 dan O = 8, coba nilai D dan R yang jika ditambahkan menghasilkan digit tunggal Y atau Y+10.
Substitusi dan Penyesuaian:
S = 9, karena S + 1 (dari M) akan memberikan jumlah yang masuk akal dengan S di ribuan.
Lanjutkan menyesuaikan nilai untuk N, D, R, dan Y dengan memastikan total kolom berjumlah benar.
Solusi yang Diuji:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2.
Substitusi dan lihat apakah hasilnya benar:
Asumsi dan Logika:
O tidak bisa 0 karena M sudah 1. Juga, karena ada carry over ke digit berikutnya, O harus cukup besar. Misal kita coba O = 0 (tapi kita tahu M = 1, jadi coba nilai lain setelah langkah berikutnya).
E + O menghasilkan Y. Jika tidak ada carry dari N+R, Y adalah E+O, atau E+O-10 jika ada carry.
Coba-Coba:
Dengan M = 1, kita mulai dengan beberapa nilai untuk E dan O yang masuk akal (misal, E = 5, O = 8).
Iterasi dan Koreksi:
S dan N harus cukup besar karena mereka berada di posisi ribuan dan ratusan.
Jika E = 5 dan O = 8, coba nilai D dan R yang jika ditambahkan menghasilkan digit tunggal Y atau Y+10.
Substitusi dan Penyesuaian:
S = 9, karena S + 1 (dari M) akan memberikan jumlah yang masuk akal dengan S di ribuan.
Lanjutkan menyesuaikan nilai untuk N, D, R, dan Y dengan memastikan total kolom berjumlah benar.
Solusi yang Diuji:
S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2.
Substitusi dan lihat apakah hasilnya benar:
9567+ 1085-------10652{codeBox}