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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