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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. - ICSE Class 10 - Mathematics

#### 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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#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7D | Q: 7

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Solution 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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