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Age multiples at two points in time (two linear equations): present ages

This type of question, asked 9 times: 14 Jul 2023 S2, 19 Jul 2023 S2, 19 Jul 2023 S3, 9 Sep 2024 S2, 19 Sep 2024 S2, 23 Sep 2024 S1, 24 Sep 2024 S1, 24 Sep 2024 S2, 24 Sep 2024 S3. All 9 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    75
    The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?

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  2. Question 2

    19 Jul 2023 S2

    74
    A woman is 28 years older than her son. In three years, her age will be twice the age of her son. The present age of the son is:

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  3. Question 3

    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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  4. Question 4

    9 Sep 2024 S2

    56
    Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be two-and-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter.

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  5. Question 5

    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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  6. Question 6

    23 Sep 2024 S1

    51
    10 years ago, the age of Sunita was thrice the age of her daughter Tanya. 10 years hence, the age of Sunita will be twice the age of Tanya. What is the ratio of their present ages?

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  7. Question 7

    24 Sep 2024 S1

    75
    Amit’s father is aged five times more than Amit. After 6 years, he would be three and a half times of Amit’s age. After further 9 years, how many times of Amit’s age would he be?

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  8. Question 8

    24 Sep 2024 S2

    52
    Ghanshyam is thrice as old as Akash. 10 years ago, Ghanshyam was four times as old as Akash. What is the difference between their current ages (in years)?

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  9. Question 9

    24 Sep 2024 S3

    56
    One year ago, the age of B was twice that of A. After 9 years, if the ratio of the ages of B and A would be 4:34 : 3, then the sum of their present ages is _____ years.

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