SOLUTION: The difference between two-thirds of a number and one-sixth of the same number is seventy-five. What is the number?

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Question 1150032: The difference between two-thirds of a number and one-sixth of the same number is seventy-five. What is the number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number = +x+
+%28+2%2F3+%29%2Ax+-+%28+1%2F6+%29%2Ax+=+75+
+x%2A%28+4%2F6+-+1%2F6+%29+=+75+
+x%2A%28+1%2F2+%29+=+75+
+x+=+150+
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check:
+%28+2%2F3+%29%2Ax+-+%28+1%2F6+%29%2Ax+=+75+
+%28+2%2F3+%29%2A150+-+%28+1%2F6+%29%2A150+=+75+
+2%2A50+-+25+=+75+
+75+=+75+
OK