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    Question

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

    ratio 12:13:16, respectively. If present average age of β€˜A’ and β€˜C’ is 28 years, then find the age of β€˜B’ when β€˜C’ was 20 years old?
    A 13 years Correct Answer Incorrect Answer
    B 15 years Correct Answer Incorrect Answer
    C 14 years Correct Answer Incorrect Answer
    D 17 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€˜12x’ years, β€˜13x’ years and β€˜16x’ years, respectively. ATQ; (16x + 12x) Γ· 2 = 28 Or, 28x = 56 So, x = 2 So, present age of β€˜C’ = 16 Γ— 2 = 32 years Present age of β€˜B’ = 13 Γ— 2 = 26 years Difference between the ages of β€˜B’ and β€˜C’ = 32 – 26 = 6 years So, age of β€˜B’ when β€˜C’ was 20 years old = 20 – 6 = 14 years

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