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Ages: k times some years ago and m times some years hence: present ages of both

The same question, asked 2 times: 19 Jul 2023 S3*, 19 Sep 2024 S2. Every wording below, oldest first.

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  1. Question 1

    19 Jul 2023 S3

    54
    Mother told her daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be”. Find the present ages of the mother and the daughter, respectively.

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  2. Question 2

    19 Sep 2024 S2

    56
    Three years ago, the age of a person was six times the age of his younger brother. Eight years later, the age of the person will be three years less than twice the age of his younger brother. Find the present ages of the person and his younger brother.

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