Question

A man is five times as old as his son .After 2 year the man will be 4 times as old as his son. The present age of father is?​

Answer 1

Answer:

Age of father = 30 years

Step-by-step explanation:

given that,

A man is five times as old as his son

let the age of his son be x

and the age of the man be 5x

also given that,

After 2 year the man will be 4 times as old as his son.

so,

According to the question,

5x + 2 = 4(x + 2)

5x + 2 = 4x + 8

5x - 4x = 8 - 2

x = 6

so,

age of his son = 6 years

age if the father = 5x

= 5(6)

= 30 years

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Age of father = 30 years

Answer 2

• Let present age of son be M.

A man is five times as old as his son.

• Age of man = 5M

After two years.

• Age of son = (M + 2) years

• Age of man = (5M + 2) years.

After 2 year the man will be 4 times as old as his son.

A.T.Q.

=> 5M + 2 = 4(M + 2)

=> 5M + 2 = 4M + 8

=> 5M - 4M = 8 - 2

=> M = 6

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Present age of son = M = 6 years

Present age of man = 5M = 5(6) = 30 years

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✡ Verification :

From above calculations we get M = 6

Put value of M in this equation :

5M + 2 = 4(M + 2)

→ 5M + 2 = 4M + 8

→ 5M - 4M = 6

→ 5(6) - 4(6) = 6

→ 30 - 24 = 6

→ 6 = 6

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