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Question

Two numbers are in the ratio 5 : 7. If the sum of these numbers is 84, find the numbers.

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Solution

Suppose that the numbers are 5x and 7x.
Then, 5x + 7x = 84
⇒ 12x = 84
⇒ x = 7
Hence, the numbers are 5 × 7=35 and 7 × 7=49.


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