Question

The ratio of the present ages of Sunita and Vinita is 4 : 5. Six years hence, the ratio of their ages will be 14 : 17. What will be the ratio of their ages 12 years hence?

• A. 16: 19
• B. 17: 19
• C. 15: 19
• D. 13: 15

Answer 1

The correct option is A 16: 19

Let the present age of Sunita and Vinita be 4x and 5x.
After 6 years. ratio is = $\frac{4x+6}{5x+6}=\frac{14}{17}$
68x + 102 = 70x+ 84
18 = 2x $\Rightarrow$ .x =9
So, their present age is 36 and 45
After 12 years their age will be 48 and 57 48 16
Hence, their ratio is $\frac{48}{57}=\frac{16}{19}$