16Hit1600
Advanced MathVery hardProduct of two numbers from their squares' sum and their ratio

Advanced Math practice question

Two positive numbers have squares that add to 25, and one number is 3/4 of the other. What is the product of the two numbers?

Answer: 12

Let the larger be a and the smaller 3a/4: a² + 9a²/16 = 25 gives a² = 16, so the numbers are 4 and 3 and their product is 12.

Common wrong answers

If you answered 7
7 is their sum.
If you answered 16
16 is the larger number squared.
If you answered 25
25 is the sum of their squares.

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