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Math Help - Age Problem-Solving for a variable.

  1. #1
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    Age Problem-Solving for a variable.

    Dan is as much older than Jan as Jan is older than Ban.
    Five years ago Danís age was double what the age difference between him and Jan will be 15 years from now. How old is Ban?

    d reps. Danís age now.
    j reps. Janís age now,
    b reps. Banís age now.


    d-j = j-b

    (from the first sentence)

    d-5 = 2 ((d+15) - (j+15))

    (from the second sentence)


    d - 5 = 2 (d+ 15 -j -15)


    d-5 = 2 (d-j)

    We now have 2 equations:
    d-j = j-b
    d-5 = 2 (j-b)

    2j Ė b Ė 5 = 2j Ė 2b
    b = 5
    Ban is 5.Hope I am right?
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  2. #2
    MHF Contributor
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    Re: Age Problem-Solving for a variable.

    That's what I get. Do you appreciate that you were very lucky? With three unknown quantities and only two equations, there is no guarantee of a single solution.
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  3. #3
    MHF Contributor

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    Re: Age Problem-Solving for a variable.

    Well, I wouldn't say "lucky". Whoever created this problem set it up so it had an answer.
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  4. #4
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    Re: Age Problem-Solving for a variable.

    Fair enough. :-)
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