document.write( "Question 126563: The sum of three numbers is -48. The first number is twelve more than the second number,and the third number is 20 less than twice the second number. Find the three numbers \n" ); document.write( "

Algebra.Com's Answer #92708 by marcsam823(57) $\"\"$ $\"About$

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Let x = second number
\n" ); document.write( "Let x + 12 = first number
\n" ); document.write( "Let 2x - 20 = third number (twenty less than two times the second\r
\n" ); document.write( "\n" ); document.write( "Set up the equation - the sum of the numbers is:
\n" ); document.write( "1st number + 2nd number + 3rd number = -48
\n" ); document.write( " $\"%28x+%2B+12%29+%2B+%28x%29+%2B+%282x+-+20%29+=+-48\"$
\n" ); document.write( "Combine like terms and solve:
\n" ); document.write( " $\"4x+-+8+=+-48\"$
\n" ); document.write( " $\"4x+=+-40\"$
\n" ); document.write( " $\"x+=+-10\"$
\n" ); document.write( "-10 is the SECOND number
\n" ); document.write( "Substite:
\n" ); document.write( " $\"x+%2B+12+=+-10+%2B+12+=+2\"$ First number
\n" ); document.write( " $\"2x+-+20+=+2%28-10%29+-20+=+-40\"$ Third number \r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( " $\"%28x+%2B+12%29+%2B+%28x%29+%2B+%282x+-+20%29=+-48\"$
\n" ); document.write( " $\"%28-10%29+%2B+%282%29+%2B+%28-40%29+=+-48%29\"$
\n" ); document.write( " $\"-48+=+-48\"$
\n" ); document.write( "This checks out. The three numbers are -10, 2 and -40
\n" ); document.write( " \n" ); document.write( "

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