Problem Based on ages

Problem Based on ages

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  1. A was born 5 years before B, B is 4 years older than C and 3 years younger to D. If A is now 17 years old, how old is D?








  1. View Hint View Answer Discuss in Forum

    Here , Present age of A = 17 years
    Age of B = age of A - 5 years = 17 – 5 = 12 years
    Age of C = age of B – 4 years =12 – 4 = 8 years

    Correct Option: B

    Here , Present age of A = 17 years
    Age of B = age of A - 5 years = 17 – 5 = 12 years
    Age of C = age of B – 4 years =12 – 4 = 8 years
    Age of D = Age of B + 3 years =12 + 3 = 15 years

  1. Ashok’s mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?








  1. View Hint View Answer Discuss in Forum

    Suppose the present age of Ashok is P years and that of his mother is Q years.
    5 years ago 3 ( P – 5 ) = ( Q – 5 )
    ⇒ 3P – 15 = Q – 5

    Correct Option: B

    Suppose the present age of Ashok is P years and that of his mother is Q years.
    5 years ago ,
    3 × ( age of Ashok - 5 ) = ( age of Ashok 's mother - 5 )
    3 ( P – 5 ) = ( Q – 5 )
    ⇒ 3P – 15 = Q – 5
    ⇒ 3P – Q = 10 ....(i)
    5 years after,
    2 × ( age of Ashok + 5 ) = ( age of Ashok 's mother + 5 )
    2 ( P + 5 ) = ( Q + 5 )
    ⇒ 2P + 10 = Q + 5
    ⇒ 2P – Q = – 5 ....(ii)
    From equations (i) and (ii) , we get
    P = 15 years
    Hence , the present age of Ashok is 15 years .

  1. Hari is twice as old as Johnny, who is three years older than Rahul. If Hari’s age is five times Rahul’s age, how old is Johnny?








  1. View Hint View Answer Discuss in Forum

    Suppose the age of Johnny is P years and that of Rahul is Q years.
    According to question ,
    Age of Hari = 2 × Age of Johnny = 2P
    And age of Hari = 5 × Age of Rahul = 5Q
    ⇒ 2P = 5Q
    ⇒ 2P – 5Q = 0 ........(i)
    Again age of Johnny = Age of Rahul + 3 years
    ⇒ P = 3 + Q
    ⇒ P – Q = 3........ (ii)

    Correct Option: C

    Suppose the age of Johnny is P years and that of Rahul is Q years.
    According to question ,
    Age of Hari = 2 × Age of Johnny = 2P
    And age of Hari = 5 × Age of Rahul = 5Q
    ⇒ 2P = 5Q
    ⇒ 2P – 5Q = 0 ........(i)
    Again age of Johnny = Age of Rahul + 3 years
    ⇒ P = 3 + Q
    ⇒ P – Q = 3........ (ii)
    On solving equations (i) and (ii), we get
    Q = 2
    ∴ Age of Johnny = 3 + Q = 3 + 2 = 5 years
    Hence , the age of Johnny is 5 years .

  1. In a family, mother’s age is twice that of daughter’s age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father?








  1. View Hint View Answer Discuss in Forum

    Suppose the age of daughter is P years.
    Age of brother = age of daughter + 5 years = P + 5 years
    Age of mother = 2 × age of daughter = 2P years
    According to question ,
    ∴ Age of mother - 20 years = Age of brother
    ⇒ 2P – 20 = P + 5
    ⇒ 2P – P = 5 + 20

    Correct Option: B

    Suppose the age of daughter is P years.
    Age of brother = age of daughter + 5 years = P + 5 years
    Age of mother = 2 × age of daughter = 2P years
    According to question ,
    ∴ Age of mother - 20 years = Age of brother
    ⇒ 2P – 20 = P + 5
    ⇒ 2P – P = 5 + 20
    ⇒ P = 25 years
    Age of mother = 2P = 2 × 25 = 50 years
    Age of father = Age of mother + 10 years = 50 + 10 = 60 years