Question

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:

6 Years

Step-by-step explanation:

According to the information provided in the question it is given as

Present ages of vatsala =14 years

Present age of Sara =10 years

We need to find  After how many years the ratio of their ages will become 5:4

Present ages of vatsala =14 years

Present age of Sara =10 years

Let us assume that after x years their age = 5:4

By this concept we can write the age after x years as follows

Vatsala age after x year = 14 + x years

Sara age after x year =10 + x years

Now by this make an equation

$\frac{14+x}{10+x} =\frac{5}{4}$

Simplifying by cross multiplication we get the value of x

$4(14+x)=5(10+x)$

$56+4 x=50+5 x$

$56-50=5 x-4 x$

$6=x$

Therefore after 6 years the ratio of there ages will become 5:4

Answer 2

Heya user

Here is your answer !!

__________

Present ages of Vatsala and Sara are 14 yrs and 10 yes respectively .

Ratio should become = 5 : 4 .

Let the years after which this ratio would be possible be x .

So ,

acc. to the question ,

( 14 + x ) / ( 10 + x ) = 5 / 4

=> 4 ( 14 + x ) = 5 ( 10 + x )

=> 56 + 4x = 50 + 5x

=> x = 6 .

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

___________

Hope it helps !!