Question 35

Present age of Vikas and Raman are in the ratio of 6 : 5 respectively. If the present age of Rohan is 98 years and the present age of Vikas is $$\frac{3}{7}$$ of the the present age of Rohan, then after how many years the ages of Vikas and Raman would be in the ratio of 7 : 6?

Solution

Rohan's present age = 98 years

=> Vikas's present age = $$\frac{3}{7}\times98=42$$ years

Ratio of present age of Vikas and Raman = $$6:5$$

=> Raman's present age = $$\frac{5}{6}\times42=35$$ years

Let after $$x$$ years, the ages of Vikas and Raman would be in the ratio = $$7:6$$

=> $$\frac{42+x}{35+x}=\frac{7}{6}$$

=> $$252+6x=245+7x$$

=> $$7x-6x=252-245$$

=> $$x=7$$

$$\therefore$$ After 7 years, the ages of Vikas and Raman would be in the ratio of 7 : 6

=> Ans - (B)


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