Question

the ages of Sona and Sonali are in the ratio of 5 ratio 3 5 years hence the ratio of their ages will be in ratio 7ratio5 find their present ages​

Answer 1

Answer :-

The present ages of Sona and Sonali are 12.5 years and 7.5 years respectively.

Explanation :-

Given :

• Present age ratio of Sona and Sonali - 5 : 3
• After 5 year, the age ratio of Sona and Sonali - 7 : 5

To find :

The present ages of Sona and Sonali

Solution :

Let the present age of Sona be 5x

and the present age of Sonali be 3x

After 5 years,

The age of Sona = (5x + 5) years

The age of Sonali = (3x + 5) years

According to question,

$= > \dfrac{5x + 5}{3x + 5} = \dfrac{7}{5}$

Cross multiplying the terms

$= > 5(5x + 5) = 7(3x + 5)$

$= > 25x + 25 = 21x + 35$

$= > 25x - 21x = 35 - 25$

$= > 4x = 10$

$= > x = \dfrac{10}{4}$

$= > x = \dfrac{5}{2}$

Hence, the value of x is 5/2 or 2.5

Therefore,

Age of Sona => 5 × 2.5 = 12.5 years

Age of Sonali => 3 × 2.5 = 7.5 years