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?

2 thoughts on “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?”

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

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2. [tex]\small\underline{\frak{\pmb{ \red{ Given : }}}} [/tex]

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

   [tex]\small\underline{\frak{\pmb{ \red{ Let : }}}}[/tex]

   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

   [tex]\small\underline{\frak{\pmb{ \red{ According \: to \: the \: question : }}}}[/tex]

   ➢ ( 14 + x ) / ( 10 + x ) = 5 : 4

   ➢ 4 ( 14 + x ) = 5 ( 10 + x )

   ➢ 56 + 4x = 50 + 5x

   ➢ 56 – 50 = 5x – 4x

   ➢ 6 = x

   ➢ x = 6

   ____________________________

   Reply