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

After 6 years, the ratio of their ages will become 5 : 4

Step-by-step explanation:

Present age of Anil = 14 years

Present age of Sunil = 10 years

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

★ 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

∴ After 6 years, the ratio of their ages will become 5 : 4

Answer 2

$\small\underline{\frak{\pmb{ \red{ Given : }}}}$

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

$\small\underline{\frak{\pmb{ \red{ Let : }}}}$

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

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

➢ ( 14 + x ) / ( 10 + x ) = 5 : 4

➢ 4 ( 14 + x ) = 5 ( 10 + x )

➢ 56 + 4x = 50 + 5x

➢ 56 - 50 = 5x - 4x

➢ 6 = x

➢ x = 6

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