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

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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

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Vivian 1 month 2021-08-19T21:58:04+00:00 1 Answer 0 views 0

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    2021-08-19T21:59:14+00:00

    \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.

    __________________________

    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.

    __________________________

    \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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