Question 76

The ratio of present ages of Ramita and Satyajit is 9:7. After 9 years the ratio of their ages will be 5:4. What is Ramita's present age?

Solution

Let Ramita's present age = $$9x$$ years and Satyajit's present age = $$7x$$ years

According to ques, => $$\frac{9x + 9}{7x + 9} = \frac{5}{4}$$

=> $$36x + 36 = 35x + 45$$

=> $$36x - 35x = 45 - 36$$

=> $$x = 9$$

$$\therefore$$ Ramita's age = $$9 \times 9 = 81$$ years

=> Ans - (A)

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