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    Question

    Present ages of β€˜A’, β€˜B’ and β€˜C’ are in the

    ratio 8:12:17, respectively. If present average age of β€˜A’ and β€˜C’ is 25 years, then find the age of β€˜B’ when β€˜C’ was 24 years old?
    A 10 years Correct Answer Incorrect Answer
    B 12 years Correct Answer Incorrect Answer
    C 14 years Correct Answer Incorrect Answer
    D 13 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of β€˜A’, β€˜B’ and β€˜C’ be β€˜8x’ years, β€˜12x’ years and β€˜17x’ years, respectively. ATQ; (17x + 8x) Γ· 2 = 25 Or, 25x = 50 So, x = 2 So, present age of β€˜C’ = 17 Γ— 2 = 34 years Present age of β€˜B’ = 12 Γ— 2 = 24 years Difference between the ages of β€˜B’ and β€˜C’ = 34 – 24 = 10 years So, age of β€˜B’ when β€˜C’ was 24 years old = 24 – 10 = 14 years

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