SOLUTION: five divided by the difference of a number and 1 equals the quotient of 10 and the sum of the number and 9. find the number.

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Question 111069: five divided by the difference of a number and 1 equals the quotient of 10 and the sum of the number and 9. find the number.
Found 2 solutions by HyperBrain, checkley71:
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the number
IF five divided by the difference of a number and 1 equals the quotient of 10 and the sum of the number and 9, then,
5%2F%28x-1%29=10%2F%28x%2B9%29

BY cross multiplication.,
5%28x%2B9%29=10%28x-1%29
5x%2B45=10x-10
10x-10=5x%2B45
10x-5x-10=5x-5x%2B45
5x-10=0%2B45
5x-10=45
5x-10%2B10=45%2B10
5x%2B0=55
5x=55
x=55%2F5=11
Thus, and therefore, the number is 11!

Power up,
HyperBrain!

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
5/(X-1)=10/(X+9) NOW CROSS MULTIPLY
5(X+9)=10(X-1)
5X+45=10X-10
5X-10X=-10-45
-5X=-55
X=-55/-5
X=11 ANSWER.
PROOF
5/(11-1)=10/(11+9)
5/10=10/20
1/2=1/2