Melissa has three different positive integers. She adds their reciprocals together and gets the sum of one. What is the product of her integers?
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Step-by-step explanation:
According to an anecdote, the math genius Carl Friedrich Gauss, added all the numbers from 1 through 100 when he was at a very young age. The sum of the first positive 100 integers is 5050 and Gauss was able to give this sum in less than a minute.
1/x + 1/y + 1/z = 1
yz + xz + xy = xyz
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