Question 65

The ratio of present ages of Ratnabali and Shaukat is 8:5. After 22 years the ratio of their ages will be 10:9. At present, what is Ratnabali's age?

Solution

Let Ratnabali's present age = $$8x$$ years and Shaukat's present age = $$5x$$ years

According to ques, => $$\frac{8x + 22}{5x + 22} = \frac{10}{9}$$

=> $$72x + 198 = 50x + 220$$

=> $$72x - 50x = 220 - 198$$

=> $$22x = 22$$

=> $$x = \frac{22}{22} = 1$$

$$\therefore$$ Ratnabali's age = $$8 \times 1 = 8$$ years

=> Ans - (D)

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