<PRE><B>Question 123165</B>
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</PRE>