Question

The respective ratio between the present ages of Pranav and Sonia is 21: 19. Ten years ago the respective ratio between their ages was 9: 8. How old is Luna if her present age is 13 years less than Sonia’s present age.

• A. 28 years
• B. 25 years
• C. 44 years
• D. 6 years
• E. None of the above

Answer 1

The correct option is B 25 years

Let Pranav and Sonia’s present ages be = 21x and 19x
Then, $\frac{21x-10}{19x-10}=\frac{8}{7}\Rightarrow x=2$
$\Rightarrow$ Present age of Luna = $19\times 2-13=25$years