Question

Ratio of present ages of Sona and Sonali is 5:3. After 5 years their ages will be in the ratio 10:7. Calculate the present ages.​

Answer 1

Answer:

sona is 15 and sonali is 9 years old

Answer 2

Required Answer :

The present age of Sona = 15 years

The present age of Sonali = 9 years

Given :

• Ratio of persent ages of Sona and Sonali = 5 : 3
• Their ratio of ages after 5 years = 10 : 7

To find :

• The present ages of Sona and Sonali = ?

Solution :

Let the present age of Sona = 5x years and the present age of Sonali = 3x years

Their ages after 5 years :

Sona's age after 5 years :

→ (5x + 5) years

Sonali's after 5 years :

→ (3x + 5) years

According to the question,

→ (5x + 5) : (3x + 5) = 10 : 7

→ (5x + 5)/(3x + 5) = 10/7

→ 7(5x + 5) = 10(3x + 5)

→ 35x + 35 = 30x + 50

→ 35x - 30x = 50 - 35

→ 5x = 15

→ x = 15/5

→ x = 3

→ The value of x = 3

Present age of Sona :

→ 5x = 5(3) = 15 years

Present age or Sonali :

→ 3x = 3(3) = 9 years

Therefore, the present age of Sona = 15 years and present age of Sonali = 9 years