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Math Help - Word problem

  1. #1
    Member jacs's Avatar
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    Word problem

    John was born 1980. In 2025 he will be 45 years old. These numbers are related because 45 = 2025.
    John's great grand mother was also 'n' years old in the year n.
    How old was she when John was born?


    I know this is probably simple, but I just can't seem to wrap my brain around it.


    thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jacs
    John was born 1980. In 2025 he will be 45 years old. These numbers are related because 45 = 2025.
    John's great grand mother was also 'n' years old in the year n.
    How old was she when John was born?


    I know this is probably simple, but I just can't seem to wrap my brain around it.


    thanks
    She would have been either 44 in 1936, or 43 in 1849, I think the earlier
    possibilities are implausible.

    If she was 44 in 1936, she was born in 1892, so she was 88 in 1980.

    You can work the other case yourself (and probably reject it as implausible).

    RonL
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  3. #3
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    Please post the explanation and answer if you know it, I'm also interested in this question.

    -NineZeroFive
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  4. #4
    Member jacs's Avatar
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    i used n + n = 1980 to get the 44
    just didnt know what to do with it from there

    thanks for that, cheers
    Last edited by jacs; July 16th 2006 at 07:33 AM. Reason: forgot to put stuff in
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  5. #5
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by 905
    Please post the explanation and answer if you know it, I'm also interested in this question.

    -NineZeroFive
    Not all math problems can be solved with formulas. When this happens, I try to use logical clues to find the answer. The logical clue in this case is that the year that this phenoman happened with the grandmother is before that of John. So try finding the first perfect-square year before 2025.

    ~ Q\!u\!i\!c\!k
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  6. #6
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    Quote Originally Posted by Quick
    Not all math problems can be solved with formulas. When this happens, I try to use logical clues to find the answer. The logical clue in this case is that the year that this phenoman happened with the grandmother is before that of John. So try finding the first perfect-square year before 2025.

    ~ Q\!u\!i\!c\!k
    The next perfect-square unit is 44^2=1936 Does that mean his grandmother was born in 1936 and therefore was 44 years old when John was born? 1980-1936=44 Correct? Anything furthur you could explain?
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  7. #7
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by NineZeroFive
    The next perfect-square unit is 44^2=1936 Does that mean his grandmother was born in 1936 and therefore was 44 years old when John was born? 1980-1936=44 Correct? Anything furthur you could explain?
    It means the great-grandmother was 44 in 1936.

    ~ Q\!u\!i\!c\!k
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  8. #8
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    Quote Originally Posted by Quick
    It means the great-grandmother was 44 in 1936.

    ~ Q\!u\!i\!c\!k
    I understand now,

    Thank you
    -NineZeroFive
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