16Hit1600
Advanced MathMediumConsecutive integers with a given product

Advanced Math practice question

The product of two consecutive positive integers is 30. What is the sum of the two integers?

Answer: 11

n(n + 1) = 30 gives n² + n − 30 = (n + 6)(n − 5) = 0, so n = 5 (positive). The integers are 5 and 6; their sum is 11.

Common wrong answers

If you answered 5
5 is the smaller integer alone.
If you answered 6
6 is the larger integer alone.
If you answered 30
30 is the product, not the sum.

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