SOLUTION: How can the number 39 be divided into two parts in order that the sum of ⅔ of one part and ľof the other part is 28?

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Question 972842: How can the number 39 be divided into two parts in order that the sum of ⅔ of one part and ľof the other part is 28?
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two parts be x and y
So, as per ques,
x%2By+=+39
and %282%2F3%29x+%2B+%283%2F4%29y+=+28
or, 8x+%2B+9y+=+28%2A12
=> 8x+%2B+9%2839-x%29+=+336
=> -x+=+336+-+351
=> x+=+15
So the parts are 15 and 24.