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    The ratio of the present ages of A and B is 6:5. Four years ago, this ratio was 5:4. What will be the ratio of the ages of A and B

    after ten years?

    This questions was previously asked in
    SSC MTS 7th October 2021 Shift-2

    11:15

    Incorrect Answer

    17:15

    Correct Answer

    15:11

    Incorrect Answer

    15:17

    Incorrect Answer
    Explanation:

    - Step 1: Define variables. Let the present age of A be 6x and B be 5x due to the given ratio of 6:5.

    - Step 2: Use past age ratio. Four years ago, the ages were (6x - 4) and (5x - 4) with a ratio of 5:4.

    - Step 3: Set up the equation. (6x - 4) / (5x - 4) = 5 / 4. Solve this equation to find x.

    - Step 4: Solve for x. Through solving, x = 16.

    - Step 5: Calculate current ages. A's current age = 96, B's current age = 80.

    - Step 6: Future ages. After ten years, A's age = 106, B's age = 90.

    - Step 7: Calculate future ratio. Future age ratio = 106/90 = 53/45 = 17:15.

    Option 2: 17:15

    -


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