SOLUTION: the sum of the digits of a two digit number is 16. if the digits were reversed, and the new number were added to the original number the sum would be 176. find the original number.

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Question 123165: the sum of the digits of a two digit number is 16. if the digits were reversed, and the new number were added to the original number the sum would be 176. find the original number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
he sum of the digits of a two digit number is 16. if the digits were reversed, and the new number were added to the original number the sum would be 176. find the original number.
:
This is an interesting problem.
Any pair of single digits which add up to 16 will work
:
Let the number be 10x + y
:
Reversing the digits and adding:
(10y + x) + (10x + y) = 176
11x + 11y = 176
:
Simplify, divide equation by 11
x + y = 16
:
79 + 97 = 176
or
88 + 88 = 176
or
97 + 79 = 176