Multiple Choice Questions on A father was twelve times as old as his son twenty years ago Now he is twice as old as his son What ........... for SSC CGL Exam Preparation

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    A father was twelve times as old as his son twenty years ago. Now he is twice as old as his son. What are the present ages

    ofthe son and father?

    This questions was previously asked in
    SSC CGL 10 June 2019 Shift-3

    22 and 44 years

    Correct Answer

    27 and 54 years

    Incorrect Answer

    33 and 66 years

    Incorrect Answer

    15 and 30 years

    Incorrect Answer
    Explanation:

    - Let's denote the son's current age as \( x \) and the father's current age as \( 2x \) since the father is now twice as old as his son.

    - Twenty years ago, the son's age was \( x - 20 \) and the father's age was \( 2x - 20 \).

    - At that time, the father was twelve times as old as the son, so we have the equation: \( 2x - 20 = 12(x - 20) \).

    - Solving the equation:

    \( 2x - 20 = 12x - 240 \)

    results in

    \( 220 = 10x \),

    so \( x = 22 \).

    - Therefore, the father is \( 2x = 44 \).

    - Let's go through the options:

    - Option 1: 22 and 44 years.

    - Option 2: 27 and 54 years.

    - Option 3: 33 and 66 years.

    - Option 4: 15 and 30 years.

    - Based on calculations, the present ages are indeed 22 and 44 years.


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