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

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

$\huge\colorbox{pink}{TAMIZHGANG࿐ }$

Answer 2

Answer :-

Given :-

• Present age of Anil = 14
• Present age of Sunil = 10

To Find :-

• After how many years will the ratio become 5 : 4.

Solution :-

Let the number of years after which the ratio of their age will become 5 : 4 be x.

Age after x years -

→ Anil's age = 14 + x

→ Sunil's age = 10 + x

According to the question :-

→ 14 + x : 10 + x = 5 : 4

→ 14 + x / 10 + x = 5 / 4

→ 4 ( 14 + x ) = 5 ( 10 + x )

→ 56 + 4x = 50 + 5x

→ 5x - 4x = 56 - 50

→ x = 6

Hence, after 6 years the ratio of Anil's age and Sunil's will be 5 : 4.