SOLUTION: 21. Divide 64 into two parts so that the difference between 2/3 of one part and ¼ of the other is equal to 28. What is the value of other part?

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Question 389583: 21. Divide 64 into two parts so that the difference between 2/3 of one part and ¼ of the other is equal to 28. What is the value of other part?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

Divide 64 into two parts 

Let x and (64-x)represent the two parts

Question States***

 (2/3)x - 1/4(64-x)= 28  Multiplying each term by 12 so as all denominators = 1

  8x - 3*64 + 3x = 28*12

          11x = 528

            x = 48 , Other part is 16



CHECKING our Answer

  2/3*48 -1/4*16 = 32 - 4 = 28 

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