Question 154

The ages of Aarzoo and Arnav are in the ratio of 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages ?

Solution

Let the present age of Aarzoo = $$11x$$ years

Present age of Arnav = $$13x$$ years

Acc to ques,

=> $$\frac{11x + 7}{13x + 7} = \frac{20}{23}$$

=> $$260x + 140 = 253x + 161$$

=> $$7x = 21$$

=> $$x = 3$$

$$\therefore$$ Difference between their ages

= $$13x - 11x = 2x$$

= 2 * 3 = 6 years

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