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?

Answer 1

(10a+b)= 2(a+b)+2
b = 8a-2

So, what choices are there?

a=1 b=6
a>1 : 8a-2 is too big for a single digit b.

So, 16/7 = 2 r 2

Answer 2

Thank You so much