SOLUTION: Two graphic artists are working on a 3D game project. One artist works 3 hours more than his colleague. Together they work more than 27 hours. Find the possible number of hours eac

Question 143162: Two graphic artists are working on a 3D game project. One artist works 3 hours more than his colleague. Together they work more than 27 hours. Find the possible number of hours each of them worked.

Answer by zephyr(9) (Show Source): You can put this solution on YOUR website!
Well. For starters, let's say X= the number of hours of the hardworking graphic artist (The one that worked the extra 3 hours). And Y= The number of hours the lazy graphic artist worked.

So that would mean that X+Y=27 (since x and y are both the hours that the graphic artists worked)

But you know what? If the lazy worker (Y) worked 3 hours to catch up with X, it's be the exact same thing...*clears throat* In other words (X is left alone since he already worked the extra 3 hours)

Now we substitute the Y+3 for X. Like this.

But if you simplify it, that's the exact same thing as
Now, you subtract the 3 from both sides , Making .
Then you divide both sides by 2, so you can simplify the equation to Y. So that would be . Therefore, your answer would be .
I hope I wasn't too confusing ^^' Best of Luck! :D
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