Question 65

The ratio of present ages of Ranjini and Shahid is 5:4. After 13 years the ratio of their ages will be 6:5. What is Ranjini's present age?

Solution

Let Ranjini's present age = $$5x$$ years and Shahid's present age = $$4x$$ years

According to ques, => $$\frac{5x + 13}{4x + 13} = \frac{6}{5}$$

=> $$25x + 65 = 24x + 78$$

=> $$25x - 24x = 78 - 65$$

=> $$x = 13$$

$$\therefore$$ Ranjini's age = $$5 \times 13 = 65$$ years

=> Ans - (B)

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