SOLUTION: divide 224 into two parts such that when the larger part is divided by the smaller part, the quotient is 2 and the remainder is half of the smaller part. find the larger part

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Question 1037155: divide 224 into two parts such that when the larger part is divided by the smaller part, the quotient is 2 and the remainder is half of the smaller part. find the larger part
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = larger part ==> 224 - x = smaller part.
==> x+=+2%28224+-+x%29+%2B+%281%2F2%29%28224+-+x%29
==> x+=+%285%2F2%29%28224-x%29
<==> 2x = 1120 - 5x ==> 7x = 1120
==> x = 160, the larger part, while
224 - x = 64, the smaller part.