Question

The age. Of sona and sonali are. In rotio 5:3.five year hence. The. Ratio of their. Age. Will. 10:7.find. Thier present age

Answer 1

$\textbf{Answer:}$

Let the present age of Sona be x and the present age of Sonali be y.

After 5 years,

$age \: of \: sona = 5x + 5 \\ \\ age \: of \: sonali = 3x + 5 \\ \\ = > \frac{5x + 5}{3x + 5} = \frac{10}{7} \\ \\ = > 7(5x + 5) = 10(3x + 5) \\ \\ = > 35x + 35 = 30x + 50 \\ \\ = > 35x - 30x = 50 - 35 \\ \\ = > 5x = 15 \\ \\ = > x = \frac{15}{5} = 3 \\ \\ = > x = 3$

Present age of Sona= 5 x 3=15 years

Present age of Sonali= 3 x 3 =9 years

$\textbf{Hope it helps you!}$