SOLUTION: twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number?

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Question 418461: twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number?
Found 2 solutions by algebrahouse.com, stanbon:
Answer by algebrahouse.com(1079) About Me  (Show Source):
You can put this solution on YOUR website!
"twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number?"

x = the number

12/(x + 2) = 4/(x - 2)
12(x - 2) = 4(x + 2) {cross-multiplied, since it was a proportion}
12x - 24 = 4x + 8 {used distributive property}
12x = 4x + 32 {added 24 to both sides}
8x = 32 {subtracted 4x from both sides}
x = 4 {divided both sides by 8}

the number is 4
www.algebrahouse.com

Answer by stanbon(57307) About Me  (Show Source):
You can put this solution on YOUR website!
twelve divided by the sum of a number and 2 equals the quotient of 4 and the difference of the number and 2. Find the number?
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12/(x+2) = 4/(x-2)
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12(x-2) = 4(x+2)
12x-24 = 4x+8
8x = 32
x = 4
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Cheers,
Stan H.