Question 234379
the sum of the digits of a two-digit number is 14. 
---
if the number represented by reversing the digits is subtracted from the original number, the result is 18. 
---
what is the origional number?
==================================
Let the original number be 10t+u
Equations:
t + u = 14
10t+u - (10u+t) = 18
-----------------------------
Rearrange:
t + u = 14
9t-9u = 18
----------------------
Simplify:
t+u = 14
t-u = 2
--------------
Add and solve for "t"
2t = 16
t = 8
--------------
Substitute into t+u = 14 to get u = 6
==========================================
Original Number: 86
==========================================
Cheers,
Stan H.