SOLUTION: Find three consecutive positive integers such that the product of the second integer and the third integer is 20.

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Question 316711: Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the second integer. Then represents the first integer and represents the third integer.

The product of the 2nd and 3rd integer is , so:



Solve the quadratic. There will be two roots, but one of them will be negative. Since the problem asks for positive integers, use the positive root and discard the negative one. Remember is the integer in the middle.

John