Advanced MathMediumProduct of two consecutive odd integers from their mean
Advanced Math practice question
The mean of two consecutive odd integers is 10. What is their product?
Answer: 99
Consecutive odd integers with mean 10 are 9 and 11 (they sit one either side of 10). Product: 99. (Algebraically, (n + n + 2)/2 = 10 gives n = 9.)
Common wrong answers
- If you answered 9
- 9 is the smaller integer alone.
- If you answered 20
- 20 is the sum, not the product.
- If you answered 100
- 100 is 10², the square of the mean, not the product of the integers.
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