Question

Melissa has three different positive integers. She adds their reciprocals together and gets a sum of 1. What is the product of her integers?

Answer 1

Step-by-step explanation:

Let the three positive integers be x, y, z.

Given condition,

$\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 1$

We have to find the value of xyz

$\frac{yz + xz + xy}{xyz} = 1$

$xyz = xy + yz + xz$