16Hit1600
Advanced MathHardTwo numbers from their product and difference

Advanced Math practice question

Two positive numbers differ by 2 and have a product of 24. What is their sum?

Answer: 10

Let the numbers be n and n + 2: n(n + 2) = 24, so n² + 2n − 24 = (n + 6)(n − 4) = 0, n = 4. The numbers are 4 and 6; their sum is 10.

Common wrong answers

If you answered 4
4 is the smaller number alone.
If you answered 6
6 is the larger number alone.
If you answered 26
26 adds the product and the difference.

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