Question

A man is thrice as old as his son. after 12 years, he will be twice as old as his son at that time. Find their present ages

Answer 1

$\mathcal{\huge{\underline{\purple{Question:-}}}}$

A man is thrice as old as his son. After 12 years, he'll be twice as old as his son at that time. Find their present ages.

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Given :-

• A man is thrice as old as his son.

• After 12 years he'll be twice as old as his son at that time.

To Find :-

• Their present ages.

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$\mathcal{\huge{\underline{\purple{Solution:-}}}}$

• Let the present age of son be x

• Then present age of father be 3x

After 12 years :-

• Age of son = x + 12

• Age of father = 3x + 12

• After 12 years father will be twice as old as his son.

According to question

$2(x + 12) = 3x + 12$

$= > 2x + 24 = 3x + 12$

$= > 3x - 2x = 24 - 12$

$= > x = 12$

$= > 3x = 12 \times 3 = 36$

Hence, the present ages of son and father are 12 and 36 years respectively.

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