16Hit1600
Advanced MathMediumTwo numbers from a product and a difference

Advanced Math practice question

Two positive numbers have a product of 40 and differ by 3. What is the smaller number?

Answer: 5

n(n + 3) = 40 gives n² + 3n − 40 = (n + 8)(n − 5) = 0, so n = 5.

Common wrong answers

If you answered 8
8 is the larger number.
If you answered 13
13 is the sum of the two numbers.
If you answered -8
−8 is the rejected negative root.

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