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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 Click here to see ALL problems on Numbers Word Problems 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)   (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)   (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? -------------- 12/(x+2) = 4/(x-2) ---- 12(x-2) = 4(x+2) 12x-24 = 4x+8 8x = 32 x = 4 =================== Cheers, Stan H.