Advanced Math practice question

Answer: 9

Let the larger be x, so the smaller is x − 5: x² + (x − 5)² = 97 → 2x² − 10x + 25 = 97 → x² − 5x − 36 = 0 → (x − 9)(x + 4) = 0. Since x is positive, x = 9 (and the smaller number is 4).

Common wrong answers

If you answered 4

4 is the smaller number.

If you answered 13

13 is 9 + 4, the sum of the two numbers.

If you answered -4

−4 is the rejected negative root.

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