A man is 24 years older than his son.In 2 years ,his age of his son. Find their present ages.​

Question

A man is 24 years older than his son.In 2 years ,his age of his son. Find their present ages.​

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Kennedy 2 weeks 2021-09-10T10:01:22+00:00 1 Answer 0 views 0

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    2021-09-10T10:02:31+00:00

    Correct question:

    A man is 24 years older than his son. In 2 years, his age will be twice the age of his son. Find their present ages.

    Solution:

    Let the age of man be ‘m’ years.

    The age of his son be ‘s’ years.

    According to the question,

    Man is 24 years older than his son

    ⇒m = s + 24 —- (Eq.1)

    After 2 years

    Man’s age = m + 2

    Son’s age = s + 2

    Now,

    (m + 2) = 2(s + 2)

    ⇒m + 2 = 2s + 4

    ⇒ m = 2s + 2. (Subtract 2 on both sides)—-(Eq.2)

    Equating Equation 1 and 2

    2s + 2 = s + 24

    ⇒2s – s = 24 – 2

    ⇒ s = 22 years.

    Therefore age of son = 22 years

    m = s + 24

    ⇒ m = 22 + 24

    ⇒ m = 46 years

    Therefore age of man =46 years

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