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. Answer:

   [tex]\small\underline{\frak{\pmb{ \blue{ given : }}}} [/tex]

   Present age of Anil = 14 years

   Present age of Sunil = 10 years

   [tex]\small\underline{\frak{\pmb{ \blue{ 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{ \blue{ 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

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2. 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.

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