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    Ratio between present age of Sudhir and Sanjay is 4 : 5. After 5 years, ratio between their ages will become 5 : 6. Present age of Sudhir is -
    Question

    Ratio between present age of Sudhir and Sanjay is 4 : 5. After 5 years, ratio between their ages will become 5 : 6. Present age of Sudhir is -

    A.

    25 years

    B.

    24 years

    C.

    20 years

    D.

    18 years

    Correct option is C


    · The current ratio of the ages of Sudhir and Sanjay is 4:5.
    · After 5 years, the ratio of their ages will be 5:6.
    Let the present ages of Sudhir and Sanjay be 4x and 5x years respectively.
    Formula Used: Ratio after a certain number of years =
    Express their ages after 5 years:
    · Sudhir's age after 5 years = 4x+5
    · Sanjay's age after 5 years = 5x+5
    According to the problem, the ratio after 5 years is:

    6(4x+5) = 5(5x+5)
    24x + 30 = 25x + 25
    25x − 24x = 30 −25
    x= 5
    Sudhir’s age = 4x = 4 × 5 = 20 years

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