Question 1153592
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Here is a quick path to the answer, if a formal algebraic solution is not required.<br>
The difference between a 2-digit number and the 2-digit number with the digits reversed is 9 times the difference of the two digits.<br>
The given number is increased by 63 = 9*7 when the digits are reversed, so the difference between the digits is 7.  That means the 2-digit number can be only 18 or 29.<br>
18 doesn't satisfy the condition that the ones digit is 25 more than the sum of the digits; 29 does.<br>
ANSWER: 29<br>