Problem Based on ages


  1. Present age of Rahul is 5 years less than Ritu's present age. If 3 years ago Ritu's age was x years, which of the following represents Rahul's present age in years?









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    3 Years age Ritu's age was x years, then
    Ritu's present age = x + 3 years

    Correct Option: A

    3 Years age Ritu's age was x years, then
    Ritu's present age = x + 3 years
    According to question,
    Present age of Rahul is 5 years less than Ritu's present age
    Hence, present age of Rahul = x + 3 - 5 = x - 2 years


  1. The present age of Sanyal is 3 times the present age of his son. Six years hence, the ratio of their ages will be 5 : 2 respectively. The present age of Sanyal is:









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    Let us assume the present age of son be x then his father present age will be 3x.

    Correct Option: C

    Let us assume the present age of son be x then his father present age will be 3x.
    According to question,
    Six years hence, the ratio of their ages will be 5 : 2 respectively
    (3x + 6)/(x+6) = 5/2
    ⇒ (3x + 6)2 = 5(x+6)
    ⇒ 6x + 12 = 5x + 30
    ∴ x = 18
    Hence, age of Sanyal = 3 x 18 = 54 years


  1. The ratio of ages of Namrata and Divya is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 4 years will be:









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    Let the present ages of Namrata and Divya are 4x and 3x years.

    Correct Option: B

    Let the present ages of Namrata and Divya are 4x and 3x years respectively; then
    According to question,
    4x + 3x = 28
    ∴ x = 4
    Hence, their present ages are 16 and 12 years.
    So required ratio = (16 +4) : (12 + 4) = 20 : 16 = 5 :4


  1. At present, the ratio between the ages of Gopal and Madhawa is 4 : 3. After 6 years, Gopal's age will be 26 years. The present age of Madhwa is:









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    Let the present age of Gopal and Madhawa are 4x and 3x years respectively.

    Correct Option: C

    Let the present age of Gopal and Madhawa are 4x and 3x years respectively; then
    According to question,
    4x + 6 = 26
    ⇒ 4x = 20
    ∴ x = 5
    Hence, present age of Madhawa = 3x = 3 x 5 = 15 years


  1. The sum of the ages of Ram, Shyam and Mohan is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. The present age of Mohan is:











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    Let us assume 10 years ago, ages of Ram, Shyam and Mohan were 2x, 3x and 4x years respectively.

    Correct Option: A

    Let us assume 10 years ago, ages of Ram, Shyam and Mohan were 2x, 3x and 4x years respectively.
    Present ages of Ram, Shyam and Mohan will be 2x + 10 , 3x + 10 and 4x + 10 years.
    According to question,
    2x + 10 + 3x + 10 + 4x + 10 = 93
    ⇒ 9x + 30 = 93
    ⇒ 9x = 93 - 30
    ⇒ 9x = 63
    ⇒ x = 7
    The present age of mohan = 4x + 10 = 4x7 + 10 = 38 years