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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?

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 class=

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mhanifa

Answer:

  • 12 solutions

Step-by-step 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

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