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?
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)
Create a FREE account and get: