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

Let the present ages of Sona and Sonali be 5x and 3x respectively (given)

After 5 years, $\frac{5x + 5}{3x + 5}$ = $\frac{10}{7}$

By cross multiplication 7(5x + 5) = 10 (3x + 5)

⇒ 35x + 35 = 30x + 50

⇒ 35x - 30x = 50 - 35

⇒ 5x = 15

⇒ x= 3

Hence present age of Sona, 5x = 5*3

= 15 years

Present age of Sonali, 3x = 3*3

= 9 years