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Math Help - Grade 9 Math Help

  1. #1
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    Grade 9 Math Help

    Missed today's class due to being stuck sick in bed. I have a quiz tomorrow on Consecutive Integer Problems using fractions in the word problems. Can you help me with the following question? The larger of two consecutive odd integers is 4 less than 1/3 the smaller. Find the numbers.
    Thanks
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  2. #2
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    Quote Originally Posted by anabanana View Post
    Missed today's class due to being stuck sick in bed. I have a quiz tomorrow on Consecutive Integer Problems using fractions in the word problems. Can you help me with the following question? The larger of two consecutive odd integers is 4 less than 1/3 the smaller. Find the numbers.
    Thanks
    Two consecutive odd integers always take the form 2k+1,\ 2k+3 for some integer k.

    You are told that

    2k+3=\frac{(2k+1)}{3} - 4

    Which you now solve for k, and hence for the two numbers (don't be supprised if one or both are negative)

    .
    Last edited by mr fantastic; January 9th 2009 at 01:30 AM. Reason: Made the fraction more obvious
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  3. #3
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    Integers

    Hello anabanana
    Quote Originally Posted by anabanana View Post
    Missed today's class due to being stuck sick in bed. I have a quiz tomorrow on Consecutive Integer Problems using fractions in the word problems. Can you help me with the following question? The larger of two consecutive odd integers is 4 less than 1/3 the smaller. Find the numbers.
    Thanks
    Suppose that the smaller odd integer is n; then the next larger one will be (n+2).

    So: (n+2) is 4 less than \frac{1}{3} of n.

    In other words: n+2 = \frac{1}{3}n - 4

    Add 4 to both sides; multiply both sides by 3; then ...?

    Can you solve it now? (The answer is a negative odd integer.)

    Grandad
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  4. #4
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    Problem solved

    Thank you! I should ace this quiz today.
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