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kristin

  • 3 years ago

the ages of two brothers are in the ratio two to three,but in eight years the ratio of ther ages will be three to four .findtheir presentage

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  1. julie
    • 3 years ago
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    hmmmm, so you want to turn this into a series of equations based on the rules outlined in the word problem. and then solve them.

  2. julie
    • 3 years ago
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    so how can you write one of the equations given the first piece of information?

  3. julie
    • 3 years ago
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    e.g. \[y = 2x/3\]

  4. julie
    • 3 years ago
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    where y = younger, and x = older

  5. julie
    • 3 years ago
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    but since there are two variables in this problem, you need a second equation to solve

  6. julie
    • 3 years ago
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    (the two present ages are the two variables)

  7. julie
    • 3 years ago
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    so we know in 8 years, that the ratio will actually be 3/4, not 2/3

  8. julie
    • 3 years ago
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    so: y+8/x+8 = 3/4

  9. julie
    • 3 years ago
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    now that you have two unknown variables (the present ages), and two equations, you can solve the problem by substituting the first (y=2x/3) into the second.

  10. kristin
    • 3 years ago
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    thank you :)

  11. julie
    • 3 years ago
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    no problem!

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