Question

The present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5: 4?

Answer 1

Answer:

Hence after 6 years the ratio of age of Vatsala and Sara will be 5:4

Step-by-step explanation:

In context to questions asked

We have to determine that after how many years the ratio between the age of Vatsala and Sara will be 5:4

As per questions

Present age of Vatsala = 14 years

Present age of Sara = 10 years

Let after t years their ratio will be 5:4

So age of Vatsala after t years will be 14+t years

while age of Sara after t years will be 10+ t years

So from questions

$\frac{14 + t}{10 + t} = \frac{5}{4} \\ = > 56 + 4t = 50 + 5t \\ = > 5t - 4t = 56 - 50 \\ = > t = 6 \: years$

Answer 2

Given: Present age of Vatsala= 14 years

           Present age of Sara= 10 years    

To find: The number of years after which the ratio of their ages will become              5:4

Solution: let the age of Vatsala after x years = 14+x

                let the age of Sara after x years = 10+x

According to the question,

$\frac{14+x}{10+x}$  =  $\frac{5}{4}$

On solving further,

⇒ 56 + 4x = 50 + 5x

⇒ 56 - 50 = 5x - 4x

⇒ x = 6

Hence, after 6 years the ratio of their ages will become 5:4.