Question 44

The ratio of present ages of Rasika and Shami is 7:5. After 17 years the ratio of their ages will be 12:11. What is Rasika's present age?

Solution

Let Rasika's present age = $$7x$$ years and Shami's present age = $$5x$$ years

According to ques, => $$\frac{7x + 17}{5x + 17} = \frac{12}{11}$$

=> $$77x + 187 = 60x + 204$$

=> $$77x - 60x = 204 - 187$$

=> $$17x = 17$$

=> $$x = \frac{17}{17} = 1$$

$$\therefore$$ Rasika's age = $$7 \times 1 = 7$$ years

=> Ans - (D)

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