# A boy is now one third as old as his father after 12 years he will be half as old as his father. find their present ages

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by satya4

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by satya4

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The Brainliest Answer!

Age of Boy = 1/3 rd of x = x/3

After 12 years father`s age = x+12

Boy`s age = x/3 + 12

But given that boy`s age will be half of father`s age = (x+12)/2

⇒ x/3 +12 = (x+12)/2

⇒ (x+36)/3 = (x+12)/2

⇒ 2(x+36) = 3(x+12)

⇒ 2x + 72 = 3x + 36

⇒ 72 -36 = 3x - 2x

⇒ 36 = x

∴ x = 36

∴ Father`s age = x = 36Yrs

Boy`s age = x/3 = 36/3 = 12Yrs