Question 139

The ages of Shirish and Kunder are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference in their ages

Solution

Let present ages of Shirish and Kunder be $$5x$$ and $$6x$$ years respectively.

Acc. to ques, ratio of their ages after 8 years

=> $$\frac{5x + 8}{6x + 8} = \frac{7}{8}$$

=> $$40x + 64 = 42x + 56$$

=> $$42x - 40x = 64 - 56$$

=> $$2x = 8$$

=> $$x = \frac{8}{2} = 4$$

$$\therefore$$ Difference in their ages = $$6x - 5x = x$$

= 4 years

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