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The ratio of two positive numbers is 5 : 7 and their product is 560. Which of the following is the smaller of the two numbers?

1. 20
2. 14
3. 28
4. 10

Correct answer: 20

Solution

Let the two numbers be 5k and 7k. Their product: 5k x 7k = 35k^2 = 560 => k^2 = 16 => k = 4. Numbers are 20 and 28. Smaller number = 20.

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