If a positive two-digit integer is divided by the sum of its digits, the quotient is 2 with a remainder of 2. What is the two-digit integer?

3 answers

Isabelle/Clary -- why did you post this after you'd received an answer from one of our volunteer tutors?

http://www.jiskha.com/display.cgi?id=1483896126
(10T+1N)/(T+N) = 2 + 2/(T+N)
or
10T+N=2T+2N+2
8T-N=2
T=1, N=6 will work in that last equation
and check does 16 work in the problem statement (It does)
wish I had seen it, it wasted my time doing it again.