Question 140

The present ages of Trisha and Shalini are in the ratio of 7: 6 respectively . After 8 years the ratio of their ages will be 9 : 8. What is the difference in their ages ?

Solution

Let present ages of Trisha and Shalini be $$7x$$ and $$6x$$ years respectively.

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

=> $$\frac{7x + 8}{6x + 8} = \frac{9}{8}$$

=> $$56x + 64 = 54x + 72$$

=> $$56x - 54x = 72 - 64$$

=> $$2x = 8$$

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

$$\therefore$$ Difference in their ages = $$7x - 6x = x$$

= 4 years

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