SOLUTION: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is:

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is:      Log On


   

Question 454689: Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is:
Answer by stanbon(75887) About Me  (Show Source):
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Two numbers are in the ratio 2 : 3.
d:3 is the same as 2x:3x
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If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2.
(2x-2)/(3x+2) = 1/2
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4x-4 = 3x+2
x = 6
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2x = 12
3x = 18
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The sum of the numbers is: 30
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Cheers,
Stan H.