Question 100

The respective ratio of Avinash’s present age and Shashi’s present age is 9 : 5. Avinash is 54 years old at present, how many years ago was the respective ratio of their ages 7 : 3 ?

Solution

Avinash's present age = $$54$$ years

=> Shashi's present age = $$\frac{5}{9} \times 54 = 30$$ years

Let $$x$$ years ago, respective ratio of their ages = $$7 : 3$$

=> $$\frac{54 - x}{30 - x} = \frac{7}{3}$$

=> $$162 - 3x = 210 - 7x$$

=> $$4x = 210 - 62 = 48$$

=> $$x = \frac{48}{4} = 12$$ years

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