Question

If a and b are positive integers and their product is 3 times their sum, what is the value of 1/a + 1/b?


Given that ab = 3(a + b).
From this, ab/3 = a + b.
Dividing through by ab yields 1/a + 1/b = 1/3.

Answer 1

Therefore, the value of 1/a + 1/b is 1/3.