Question

PLEASE HELP ASAP!

In the cryptarithm shown with sum 700, different letters stand for different digits, and no letter represents the digit 7 or 0. How many different numeric values for “SAT” are possible?

Answer 1

• 12 solutions

Explanation:

• Its clear that S = 3
• We are looking for all AT + UN = 100
• Which becomes: T + N = 10 and A + U = 9
• Considering 7, 0 and 3 already used, we get the combination of the rest of the digits
• In total, 12 possible solutions

Here is all the solutions:

1. 314 + 386 = 700
2. 316 + 384 = 700
3. 341 + 359 = 700
4. 342 + 358 = 700
5. 348 + 352 = 700
6. 349 + 351 = 700
7. 351 + 349 = 700
8. 352 + 348 = 700
9. 358 + 342 = 700
10. 359 + 341 = 700
11. 384 + 316 = 700
12. 386 + 314 = 700