Question

The present ages of A and B are in the ratio 15 : 8. After 8 years their ages will be in the ratio 17 : 10. What will be the ratio of the ages of A and B after 10 years from now?

• A. 10 : 7
• B. 8 : 5
• C. 5 : 3
• D. 7 : 4

Answer 1

Answer:

C. 5 : 3

Solution:

Calculation:

Let present age of A = 15x years ad B = 8x years

According to ques,

$\frac{15x+8}{8x+8}=\frac{17}{10}$

⇒$150x+80=136x+136$

⇒14x=136−80=56

$x=\frac{56}{14}=4$

∴ The ratio of the ages of A and B after 10 years from now = $\frac{15\times{4}+10}{8\times{4}+10}$

$=\frac{70}{42}=5 : 3$

∴ Required  ratio = 5 : 3