Problems on Ages


  1. The ratio between the present ages of Indira and Lizzy is 3 : 8, respectively. After 8 yr, Indira's age will be 20 yr. What was Lizzy's age 5 yr ago











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    Let present ages of indira and Lizzy are 3k yr and 8k yr, respectively.
    ∴ 3k + 8 = 20 ⇒ 3k = 12

    Correct Option: B

    Let present ages of indira and Lizzy are 3k yr and 8k yr, respectively.
    ∴ 3k + 8 = 20 ⇒ 3k = 12
    ∴ k = 4
    Hence, Lizzy's required age = 8k - 5
    = 32 - 5
    = 27 yr


  1. At present, Kavita is twice Sarita's age. 8 yr hence, the respective ratio between Kavita's and Sarita's ages will be 22 : 13. What is Kavita 's present age ?











  1. View Hint View Answer Discuss in Forum

    Let Sarita;s present age = k yr
    Then, Kavita's present age = 2k yr
    According to the question,
    (2k + 8) / (k + 8) = 22/13

    Correct Option: D

    Let Sarita;s present age = k yr
    Then, Kavita's present age = 2k yr
    According to the question,
    (2k + 8) / (k + 8) = 22/13
    ⇒ 26k + 104 = 22k + 176
    ⇒ 4k = 72
    ∴ k = 18
    Hence, Kavita's age = 2 x 18 = 36 yr



  1. 7 yr ago, the ages of A and B were in the ratio 4 : 5 and 7 yr hence, they will be in the ratio 5 : 6. The present age of B is ?









  1. View Hint View Answer Discuss in Forum

    Let 7 yr ago, ages of A and B 4k yr and 5k yr, respectively.
    Then, present age of A = 4k + 7
    and present age of B = 5k + 7
    Now, according to the question,
    ∴ (4k + 7 + 7) / (5k + 7 + 7) = 5/6

    Correct Option: D

    Let 7 yr ago, ages of A and B 4k yr and 5k yr, respectively.
    Then, present age of A = 4k + 7
    and present age of B = 5k + 7
    Now, according to the question,
    ∴ (4k + 7 + 7) / (5k + 7 + 7) = 5/6
    ⇒ 24k + 84 = 25k + 70
    ⇒ k = 14
    Hence, B's present age = 5 x 14 + 7 = 77 yr


  1. The present ages of two persons are 36 and 50 yr, respectively. If after n yr the ratio of their ages will be 3 : 4, then the value of n is ?









  1. View Hint View Answer Discuss in Forum

    According to the question,
    (36 + n) / (50 + n) = 3/4

    Correct Option: D

    According to the question,
    (36 + n) / (50 + n) = 3/4
    ⇒ 144 + 4n = 150 + 3n
    ∴ n = 6



  1. The ratio between the present ages of A and B is 4 : 5. If the ratio between their ages 4 yr hence become 14 : 17, Then what is B's age at present ?









  1. View Hint View Answer Discuss in Forum

    Let the ages of A and B are 4N and 5N yr. respectively.
    According to the question,
    ∴ (4N + 4)/(5N + 4) = 14/17

    Correct Option: A

    Let the ages of A and B are 4N and 5N yr. respectively.
    According to the question,
    ∴ (4N + 4)/(5N + 4) = 14/17
    ⇒ 68N + 68 = 70N + 56
    ⇒ 2N = 12
    ⇒ N = 6
    Hence present age of B = 5 x 6 = 30 yr