SOLUTION: when you reverse the digits in a certain two-digit number you increase its value by 18. What is the number if the sum of its digits is 16?

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Question 1168179: when you reverse the digits in a certain two-digit number you increase its value by 18. What is the number if the sum of its digits is 16?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The number, 10t%2Bu
Reverse its digits, 10u%2Bt

The change being 18:
After the algebra and simplification, u-t=2.

The last sentence, u%2Bt=16.

Elimination Method would be very fast here.
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