document.write( "Question 754846: The product of 3 consecutive numbers when divided by each of them in turn , the sum of three quotient will be 74 .what are the numbers ? \n" ); document.write( "
Algebra.Com's Answer #459422 by ankor@dixie-net.com(22740)\"\" \"About 
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The product of 3 consecutive numbers when divided by each of them in
\n" ); document.write( " turn, the sum of three quotient will be 74.
\n" ); document.write( "what are the numbers?
\n" ); document.write( ":
\n" ); document.write( "The product
\n" ); document.write( "x(x+1)(x+2) = x^3 + 3x^2 + 2x
\n" ); document.write( ":
\n" ); document.write( "The three quotients
\n" ); document.write( "divisor: quotient
\n" ); document.write( "x: (x+1)(x+2)
\n" ); document.write( "(x+1): x(x+2)
\n" ); document.write( "(x+2): x(x+1)
\n" ); document.write( ":
\n" ); document.write( "The sum
\n" ); document.write( "[(x+1)(x+2)] + [x(x+2)] + [x(x+1)] = 74
\n" ); document.write( "(x^2 + 3x + 2) + (x^2 + 2x) + (x^2 + x) = 74
\n" ); document.write( "combine like terms
\n" ); document.write( "3x^2 + 6x + 2 = 74
\n" ); document.write( "A quadratic equation
\n" ); document.write( "3x^2 + 6x + 2 - 74 = 0
\n" ); document.write( "3x^2 + 6x - 72 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(3x + 18)(x - 4) = 0
\n" ); document.write( "Positive solution is what we want here
\n" ); document.write( "x = 4
\n" ); document.write( "4, 5, 6 are the numbers\r
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