Problems on Ages


  1. A is twice as old as B was two years ago. If the difference in their ages be 2 years, find A's age ?









  1. View Hint View Answer Discuss in Forum

    Let B;s age 2 years ago be N years
    ∴ A's present age = 2N years

    From question, 2N - (N + 2) = 2

    Correct Option: C

    Let B;s age 2 years ago be N years
    ∴ A's present age = 2N years

    From question, 2N - (N + 2) = 2
    ⇒ N = 4
    ∴ A's age = 2 x 4 = 8 years


  1. A is 3 years younger to B, C is two years older then A. Then B's relation to C is ?









  1. View Hint View Answer Discuss in Forum

    Let the age of A be (x - 3) years
    ⇒ B's age = x years
    ⇒ C's age = (x - 3) + 2 = x - 1

    Correct Option: C

    Let the age of A be (x - 3) years
    ⇒ B's age = x years
    ⇒ C's age = (x - 3) + 2 = x - 1
    ∴ B's age - C's age = x - (x - 1) = 1 year
    ∴ B is one year older then C.



  1. The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son ?









  1. View Hint View Answer Discuss in Forum

    Suppose x years later the father will be twice as old as his son.
    ∵ x + 41 = 2 (x + 16)

    Correct Option: B

    Suppose x years later the father will be twice as old as his son.
    ∵ x + 41 = 2 (x + 16)
    ⇒ x = 41 - 32 = 9 years


  1. A is 20 years older than B. He is also 6 times as old as B.Then the respective age of A and B are ..... and .... years. ?









  1. View Hint View Answer Discuss in Forum

    Let the age of B be N years
    According to the question
    ∵ N + 20 = 6N

    Correct Option: A

    Let the age of B be N years
    According to the question
    ∵ N + 20 = 6N
    ∴ N = 4 years
    ∴ A's age = 4 x 6 = 24 years and B's age = 4 years



  1. Deepak is 4 times as old as his son. four years hence the sum of their ages will be 43 years. How old is deepak's son now ?









  1. View Hint View Answer Discuss in Forum

    Let the son's present age be x years
    Then, (x + 4 ) + (4x + 4) = 43

    Correct Option: B

    Let the son's present age be x years
    Then, (x + 4 ) + (4x + 4) = 43
    ⇒ 5x = 35
    ⇒ x = 7 years