# A father is 4 times as old as his son.after 5 years, he will be thrice his sons age.find there present ages.

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by safia

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by safia

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Let the father's present age = x

son's present age = y

as father is 4 times as old as his son,

x = 4y ---------------(1)

after 5 years,

son's age = y+5

father's age = x+ 5

after 5 years, father's age will be thrice son's age.

x+5 = 3×(y+5)

⇒ 4y + 5 = 3y + 15

⇒ 4y - 3y = 15 - 5

⇒ y =**10 (son's present age)**

x = 4y = 10×4 =** 40 (father's present age)**

son's present age = y

as father is 4 times as old as his son,

x = 4y ---------------(1)

after 5 years,

son's age = y+5

father's age = x+ 5

after 5 years, father's age will be thrice son's age.

x+5 = 3×(y+5)

⇒ 4y + 5 = 3y + 15

⇒ 4y - 3y = 15 - 5

⇒ y =

x = 4y = 10×4 =