SOLUTION: Two thirds of a number is 1 more than half the same number. What is the number?

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Question 825042: Two thirds of a number is 1 more than half the same number. What is the number?
Found 2 solutions by phoihe001, y6n3o9p4:
Answer by phoihe001(34) About Me  (Show Source):
You can put this solution on YOUR website!
The number is 6

Answer by y6n3o9p4(20) About Me  (Show Source):
You can put this solution on YOUR website!
You can write this as an equation. Let x = the unknown number. %282%2F3%29%2Ax+=+%281%2F2%29%2Ax%2B1
First you should try to get rid of the fractions. Multiply the equation by one of the denominators. %284%2F3%29%2Ax+=+x%2B2
Now do the same with the other denominator. 4%2Ax+=+3%2Ax%2B6
Subtract 3*x from both sides of the equation to isolate the variable. x+=+6
The number is 6.