SOLUTION: the sum of digits of a two digit number is 14 . If 29 is subtracted from the number the digits of the new number become equal. Please show me the steps

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Question 961966: the sum of digits of a two digit number is 14 . If 29 is subtracted from the number the digits of the new number become equal. Please show me the steps
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
There are only 5 possible 2-digit numbers that add up to 14:
59,68,77,86,95. Subtract 29 from each:
29,29,29,29,29
---------------
30,39,48,57,66 Bingo!
The number is 95. 9+5=14 and 95-29= 66