Problems on Ages

  1. The ratio of father's age to the son's age is 4 : 1. The product of their ages is 196. the ratio of their ages after 5 years will be ?
    1. 3 : 1
    2. 10 : 3
    3. 11 : 4
    4. 14 : 5
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    Let father's age be 4T and son's age T years.
    ∵ 4T x T = 196

    Correct Option: C

    Let father's age be 4T and son's age T years.
    ∵ 4T x T = 196
    ⇒ T2 = 49
    ∴ T = 7
    Father's age after 5 years = (4T + 5) = 33 years
    Son's age after 5 years = (T + 5) = 12 years
    ∴ Ratio of their ages after 5 years = 33 : 12 = 11 : 4

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  1. Mr. Sohanlal is 4 times as old as his son. Four years later the sum of their ages will be 43 years. The present age of son is ?
    1. 5 years
    2. 7 years
    3. 8 years
    4. 10 years
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    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

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  1. The ratio of Vimal's age and Aruna's age is 3 : 5 and sum of their ages in 80 years. The ratio of their ages after 10 years will be ?
    1. 2 : 3
    2. 1 : 2
    3. 3 : 2
    4. 3 : 5
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    ∵ 3x + 5x = 80
    ⇒ x = 10
    Ratio of their ages after 10 years = (3x + 10) : (5x + 10)

    Correct Option: A

    ∵ 3x + 5x = 80
    ⇒ x = 10
    Ratio of their ages after 10 years = (3x + 10) : (5x + 10) = 40 : 60 = 2 : 3

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  1. Ratio of Ashok's age to Pradeep's age equal to 4 : 3. Ashok will be 26 years old after 6 years. How old is Pradeep now ?
    1. 12 years
    2. 15 years
    3. 191/2 years
    4. 21 years
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    Let Ashok's age = 4x years and Pradeep's age = 3x years
    From question, 4x + 6 = 26

    Correct Option: B

    Let Ashok's age = 4x years and Pradeep's age = 3x years
    From question, 4x + 6 = 26
    ⇒ x = 5
    &ther4; Pradeep's age = 3x = 15 years.

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  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. 5 years
    2. 7 years
    3. 8 years
    4. 10 years
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    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

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