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CBSE Class 10 Answered

Two numbers are in the ratio 2:3. If 5 is added to each number, the ratio becomes 5: 7. Find the numbers.
Asked by miniprasad | 04 May, 2018, 08:02: PM
answered-by-expert Expert Answer

The numbers are in the ratio 2:3.

Let the common ratio be x.
Therefore the numbers are 2x and 3x.

If 5 is added to both the numbers the ratio become 5:7.
Therefore, (2x + 5):(3x + 5)= 5 : 7
Therefore, 14x + 35 = 15x + 25
Therefore, x = 10

Thus, the numbers are 2x = 2 × 10 = 20 and 3x = 3 × 10 = 30.

Answered by Yasmeen Khan | 04 May, 2018, 10:19: PM

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