When the sum of the reciprocals of two distinct positive integers is divided by the sum of the two integers, the result is 1/25. What is the sum of the two integers?
Can x= y ? Can they both be 5?
5+5 = 10
We have
1/a + 1/b
_______ = 1 /25
a + b
[ a + b ] / ab
__________ = 1/ 25
[ a + b ]
[ a + b ] / ab * 1 / [ a + b ] = 1 / 25
1 / ab = 1 / 25
ab = 25
a = 1 and b = 25
And their sum is 26
