SOLUTION: 7. The sum of two fractions is three times their difference. Six times the smaller fraction exceeds the larger fraction by 1 ½ .Find the fractions?

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Question 393229: 7. The sum of two fractions is three times their difference. Six times the smaller fraction exceeds the larger fraction by 1 ½ .Find the fractions?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Six times the smaller fraction exceeds the larger fraction by 1 1/2

Let x ,(6x- 3/2)represent the smaller and larger fraction respectively

Questions States***

x +(6x- 3/2) = 3[(x -(6x- 3/2)]

solcing for x

 7x - 3/2 = 3x - 3(6x-3/2)

 7x - 3/2 = 3x - 18x + 9/2

    22x  = 12/2

      x = 12/44 = 3/11, smaller of the fractions.  

     Larger is =  (18/11 - 3/2) = (36-33)/22 = 3/22



CHECKING our Answer

   6/22 + 3/22 = 9/22 = 3* 3/22 = 9/22