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Practice mode Problems on Numbers

Two positive numbers are in the ratio 3 : 5 and the sum of their squares is 306. What is the sum of the numbers?

Correct answer C. 24

Explanation

Let the numbers be 3k and 5k. 9k^2 + 25k^2 = 34k^2 = 306, so k^2 = 9 and k = 3. Numbers are 9 and 15, sum 24.

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