Question 95

The ages of Samir and Tanuj are in the ratio of 8 :15 years respectively. After 9 years the ratio of their ages will be 11 :18. What is the difference in years between their ages ?

Solution

Let the present ages of Samir and Tanuj be $$8x$$ years and $$15x$$ years respectively.

=> After 9 years, acc to ques

=> $$\frac{8x + 9}{15x + 9} = \frac{11}{18}$$

=> $$144x + 162 = 165x + 99$$

=> $$165x - 144x = 162 - 99$$

=> $$21x = 63$$

=> $$x = \frac{63}{21} = 3$$

$$\therefore$$ Difference in their present ages = $$15x - 8x = 7x$$

= $$7 \times 3 = 21$$ years

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