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# Two Numbers Are in the Ratio 5:7. If 3 is Subtracted from Each of Them, the Ratio Between Them Becomes 2:3. Find the Numbers. - Mathematics

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#### Question

Two numbers are in the ratio 5:7. If 3 is subtracted from each of them, the ratio between them becomes 2:3. Find the numbers.

#### Solution

Let the two numbers be 5x and 7x.
From the given information,
(5x- 3)/(7x - 3)= 2/3
15x - 9 = 14x - 6
15x - 14x = 9 - 6

x = 3
Thus, the numbers are 5x = 15 and 7x = 21.

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Two Numbers Are in the Ratio 5:7. If 3 is Subtracted from Each of Them, the Ratio Between Them Becomes 2:3. Find the Numbers. Concept: Ratios.
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