SOLUTION: The sum of the digits of two digit number is 15. One third of the number diminished by 12 is 17. What is the number? Show your solution.

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Question 1063389: The sum of the digits of two digit number is 15. One third of the number diminished by 12 is 17. What is the number? Show your solution.
Answer by ikleyn(52878) About Me  (Show Source):
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The sum of the digits of two digit number is 15. One third of the number diminished by 12 is 17. What is the number? Show your solution.
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The second condition says    ("One third of the number diminished by 12 is 17.")

%281%2F3%29%2Ax-12 = 17   --->  x - 36 = 51  --->  x = 51 + 36  --->  x = 87.

The first condition is unnecessary and does not used in the solution.

Happily, it is consistent with the found solution.

Answer. The number is 87.