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# Find ratio of smaller number to larger number.

Posted on 2011-09-25
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The sum of two numbers is 3 times their positive difference.  What is the ratio of the smaller number to the larger number? Express your answer as a common fraction.

This is Sixth Grade Math Problem.

How to start this problem?
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Question by:naseeam
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Accepted Solution

GwynforWeb earned 500 total points
ID: 36596715
If  A is bigger than B then

3( A - B) = A + B

now move all the A to one side and the B's to the other

2A = 4B

I'll let you do the rest
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LVL 31

Expert Comment

ID: 36596718
... if you get 1/2 then you are correct
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LVL 9

Expert Comment

ID: 36597297
Assuming (as above) that A is larger than B, start by turning the problem statement into a formula.

"The sum of two numbers is 3 times their positive difference" then becomes
"A + B = 3 * (A - B)".

Then proceed (as above) to expand 3 * (A  - B) and then combine all A terms on one side and all B terms on the other.

You can easily satisfy the initial assumption by simply labeling the larger number as A and the smaller as B.
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