(Solved): 23. If the positive integer c has positive integer divisors a and b with c=ab, then a and b are sai ...

23. If the positive integer $c$ has positive integer divisors $a$ and $b$ with $c=ab$, then $a$ and $b$ are said to be complementary divisors of $c$. Suppose that $N$ is a positive integer that has one complementary pair of divisors that differ by 20 and another pair of complementary divisors that differ by 23 . What is the sum of the digits of $N$ ? (A) 9 (B) 13 (C) 15 (D) 17 (F.) 19