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naseeamFlag for United States of America

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Find ratio of smaller number to larger number.

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.

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GwynforWeb
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... if you get 1/2 then you are correct
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shadow77

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.