Question

the present age of anil and Sunil are 14 years and 10 years respectively after how many years will be the retio of the become 5:4?​

Answer 1

Step-by-step explanation:

SOLUTION

Let after x years, the ratio of their ages will become 5 : 4.

Age of Anil after x years = (14 + x) years

Age of Sunil after x years = (10 + x) years

So,

14 + x/10 + x

=> 5/4

=> 56 + 4x = 50 + 5x

=> 5x - 4x = 56 - 50

=> x = 6

Thus,

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

Answer 2

Answer:

$\small\underline{\frak{\pmb{ \blue{ given : }}}}$

Present age of Anil = 14 years

Present age of Sunil = 10 years

$\small\underline{\frak{\pmb{ \blue{ let}}}}$

After x years ,

The ratio of their ages will become 5 : 4

So ,

Anil's age = ( 14 + x ) years

Sunil's age = ( 10 + x ) years

$\small\underline{\frak{\pmb{ \blue{ According \: to \: the \: question : }}}}$

➢ ( 14 + x ) / ( 10 + x ) = 5 : 4

➢ 4 ( 14 + x ) = 5 ( 10 + x )

➢ 56 + 4x = 50 + 5x

➢ 56 - 50 = 5x - 4x

➢ 6 = x

➢ x = 6