Question 82

The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years the ratio of their ages will be 10:9. What is Ratna's present age?

Solution

Let Ratna's present age = $$5x$$ years and Shantanu's present age = $$4x$$ years

According to ques, => $$\frac{5x + 19}{4x + 19} = \frac{10}{9}$$

=> $$45x + 171 = 40x + 190$$

=> $$45x - 40x = 190 - 171$$

=> $$5x = 19$$

=> $$x = \frac{19}{5}$$

$$\therefore$$ Ratna's age = $$5 \times \frac{19}{5} = 19$$ years

=> Ans - (A)

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