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Math Help - ages problem

  1. #1
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    Wink ages problem

    The ration of Jonathan's age to David's is 6:5 in seven years it will be 7:6. Whar are their ages now?

    This is my homework, and although I tried many times over was not able to solve it. Can anybody explain? Thanks!!!!
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  2. #2
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    You can set up two systems and solve.

    Let j = Jonathans age and d = davids age.

    NOW: 6j=5d

    7 years from now: 7(j+7)=6(d+7)

    Solve for j and d.
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  3. #3
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    Hello, AlexOrme!

    Another approach . . .


    The ratio of Jonathan's age to David's is 6:5
    Iin seven years it will be 7:6.
    Whar are their ages now?
    We are told that: . \frac{\text{Jonathan}}{\text{David}} \:=\;\frac{6a}{5a} . for some integer a.


    In seven years, they are both seven years older

    . . and the ratio is 7-to-6: . \frac{6a+7}{5a+7} \:=\:\frac{7}{6}


    Solve for a . . . and then their ages.


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