The greatest common divisor of two positive integers is 25. If the sum of the integers is 350, then how many such pairs are possible?
Pick one
A) 1
B) 2
C) 3
D) 4
E) 5
350 = 25 * 14   To have the GCD of two numbers to be 25, we need to split 14 into two co-prime numbers. Such pairs of numbers are: (1,13), (3,11), and (5,9).   Answer:3
<result>C</result>
The greatest common divisor of two positive integers is 25. If the sum of the integers is 350, then how many such pairs are possible?