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Q. 84.5( 49 Votes )

The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio of their ages will be 1 : 3. What is Rehana's present age?

Class 9th MHB - Math Part-I 4. Ratio and Proportion

Answer :

Given: Ratio of present age of Rehana and her mother = 2:7

So, let present age of Rehana = 2x

∴ Present age of her mother = 7x

After 2 years, age of Rehana = (2x + 2) years

After 2 years, age of her mother = (7x + 2) years

Now, given that after two years ratio of their ages will be 1:3.

On cross multiplying, we get:

6x + 6 = 7x + 2

⇒ 7x – 6x = 6 – 2

⇒ x = 4

∴ Present age of Rehana = 2x = (2 × 4) years = 8 years

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