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Question

Two numbers are in the ratio 5 : 9. On subtracting 3 from each, the ratio becomes 1 : 2. Find the numbers.

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Solution

Suppose that the numbers are 5x and 9x.
Then, (5x − 3) : (9x − 3) = 1 : 2

5x - 39x -3=12

⇒ 10x − 6 = 9x − 3
⇒ x = 3

Hence, the numbers are (5 × 3 =) 15 and (9 × 3 =) 27.

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