Advanced MathHardConsecutive even integers: product exceeds sum
Advanced Math practice question
The product of two positive consecutive even integers is 34 more than their sum. What is the larger of the two integers?
Answer: 8
Let the integers be n and n + 2: n(n + 2) = n + (n + 2) + 34 → n² + 2n = 2n + 36 → n² = 36 → n = 6 (positive). The larger integer is 8.
Common wrong answers
- If you answered 6
- 6 is the smaller integer.
- If you answered 34
- 34 is the difference given, not an integer in the pair.
- If you answered -6
- −6 is the negative root, ruled out by 'positive'.
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