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

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) (Show Source): You can put this solution on YOUR website!

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

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