Ram is 9 years older than Hari. Three years ago, he was two times as old as Hari was. Find their present age. plz help me-.​

Question

Ram is 9 years older than Hari. Three years ago, he was two times as old as Hari was. Find their present age.
plz help me…..​

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Isabelle 2 days 2021-11-25T16:46:31+00:00 1 Answer 0 views 0

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    2021-11-25T16:47:34+00:00

    Answer:

    Ram: 21, Hari: 12

    Step-by-step explanation:

    To solve the problem, we can use the following notation. We call:

    r = Ram’s age at present

    h = Hari’s age at present

    We know that:

    – Ram is 9 years older than Hari –> mathematically, this can be written as

    r=h+9

    – Three years ago, Ram was two times as old as Hari was –> mathematically, this can be written as

    r-3=2(h-3)

    where (r-3) is Ram’s age 3 years ago, while (h-3) is Hari’s age 3 years ago

    Substituting eq.(1) into eq.(2), we  find:

    (h+9)-3=2(h-3)\\h+9-3=2h-6\\h+6=2h-6\\h=12

    So, Hari’s age is 12; therefore, Ram’s age is

    r=12+9=21

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