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    Question

    Three years ago, age of A was 10 years less than 1.2 times

    his current age. The ratio of age of B, 3 years later to the age of C, 1 year ago is 3:2. Find the age of B, if C is 40% less than A.
    A 45 yrs Correct Answer Incorrect Answer
    B 25 yrs Correct Answer Incorrect Answer
    C 10 yrs Correct Answer Incorrect Answer
    D 27 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of A, B and C be ‘a’, ‘b’ and ‘c’ years respectively.

    a – 3 = 1.2 × a – 10

    0.2 × a = 7

    a = 7 / 0.2

    a = 35 years

    So, age of c = 35 × 0.6 = 21 years

    Also, (b + 3)/(c – 1) = 3/2

    b + 3 = 1.5c – 1.5

    b = 1.5 × 21 – 1.5 – 3

    b = 31.5 – 4.5 = 27 years

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