SOLUTION: If one-half thenumber is subtracted from five-sixths of the number,the difference is 6. Find the number

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Question 77316: If one-half thenumber is subtracted from five-sixths of the number,the difference is 6. Find the number
Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
5x/6-x/2=6
(5x-3x)/6=6 cross multiply
5x-3x=36
2x=36
x=36/2
x=18 answer
proof
18(5/6)-18/2=6
90/6-9=6
15-9=6
6=6
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let x=the unknown number
So we have

Multiply the 2nd term by (3/3) to get the LCD



Multiply both sides by (6/2)

So the number is 18


Check:
plug in x=18


works

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