Advanced MathHardLarger of two consecutive odd integers from their product
Advanced Math practice question
The product of two consecutive positive odd integers is 63. What is the larger of the two integers?
Answer: 9
n(n + 2) = 63 gives n² + 2n − 63 = (n + 9)(n − 7) = 0, so n = 7 and the larger integer is 9.
Common wrong answers
- If you answered 7
- 7 is the smaller integer.
- If you answered 8
- 8 is not odd.
- If you answered -7
- −7 comes from the negative root n = −9, giving −9 and −7, which are not positive.
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