Problem Based on ages


  1. Your age is 10 years less than half your mother’s age who is 5 years younger than your father. If your father is 45 years old, what is your age?









  1. View Hint View Answer Discuss in Forum

    Given that :- Father’s age = 45 years
    The age of mother = Father’s age – 5 years = 45 – 5 = 40 years
    According to question ,

    The age of son =
    Age of mother
    - 10 years
    2

    Correct Option: C

    Given that :- Father’s age = 45 years
    The age of mother = Father’s age – 5 years = 45 – 5 = 40 years
    According to question ,

    The age of son =
    Age of mother
    - 10 years
    2

    The age of son =
    40
    - 10
    2

    The age of son =
    40 - 20
    = 10 year
    2


  1. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife?









  1. View Hint View Answer Discuss in Forum

    Suppose the present age of son is P years.
    Therefore, present age of the father = 4P years
    According to question
    The present age of son + 3 years = 15
    ∴ the present age of son ( P ) = 15 – 3 = 12 years

    Correct Option: D

    Suppose the present age of son is P years.
    Therefore, present age of the father = 4P years
    According to question
    The present age of son + 3 years = 15
    ∴ The present age of son ( P ) = 15 – 3 = 12 years
    The present age of father = 4P = 4 × 12 = 48 years
    ∴ The present age of man’s wife = The present age of father - 3 = 48 – 3 = 45 years