Advanced Math practice question

Answer: 3

1/n + 1/(n + 1) = 7/12 → 12(2n + 1) = 7n(n + 1) → 7n² − 17n − 12 = 0 → (7n + 4)(n − 3) = 0. Since n is a positive integer, n = 3. Check: 1/3 + 1/4 = 7/12.

Common wrong answers

If you answered 4

4 is the larger integer.

If you answered 7

7 is the numerator of the sum.

If you answered 12

12 is the denominator of the sum, not an integer in the pair.

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