Advanced MathMediumConsecutive even integers from a product
Advanced Math practice question
The product of two consecutive even positive integers is 80. What is their sum?
Answer: 18
n(n + 2) = 80 gives n² + 2n − 80 = (n + 10)(n − 8) = 0, so n = 8. The integers are 8 and 10; their sum is 18.
Common wrong answers
- If you answered 8
- 8 is the smaller integer.
- If you answered 10
- 10 is the larger integer.
- If you answered 80
- 80 is the product.
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