SOLUTION: if one-half of one integer is subtracted from three-fifths of the next consecutive integer the difference is 3. what are the two integers?

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Question 26922: if one-half of one integer is subtracted from three-fifths of the next consecutive integer the difference is 3. what are the two integers?
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call X to the smalles of the two integers. Since they are consecutive, the integers are X and X+1.
We have that one-half of the first (the smallest) is subtracted from 3/5 of the second one and the difference is 3. This means that:
%283%2F5%29%28X%2B1%29+-+%281%2F2%29X+=+3
This is
%283%2F5%29X+%2B+%283%2F5%29+-+%281%2F2%29X+=+3
%283%2F5%29X+-+%281%2F2%29X+=+3+-+%283%2F5%29+=+12%2F5
Now let's multiply both sides by 10:
%2830%2F5%29X+-+%2810%2F2%29X+=+120%2F5
6X+-+5X+=+24
1X+=+24
So the two integers are 24 and 25.