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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?
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Oct 16, 2022
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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?
Mathematics
high-school
Koszikot
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Answer:
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:
314 + 386 = 700
316 + 384 = 700
341 + 359 = 700
342 + 358 = 700
348 + 352 = 700
349 + 351 = 700
351 + 349 = 700
352 + 348 = 700
358 + 342 = 700
359 + 341 = 700
384 + 316 = 700
386 + 314 = 700
Dennbagas
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Oct 23, 2022
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Dennbagas
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