document.write( "Question 495508: the sum of three integers is one hundred twenty-three. The second number is two more than twice the first number. The third number is five less than the product of three and the first number. Find the three numbers. \n" ); document.write( "

Algebra.Com's Answer #336162 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Three integers, a, b, c
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\n" ); document.write( "the sum of three integers is one hundred twenty-three.
\n" ); document.write( "a + b + c = 123
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\n" ); document.write( "The second number is two more than twice the first number.
\n" ); document.write( "b = 2a + 2
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\n" ); document.write( "The third number is five less than the product of three and the first number.
\n" ); document.write( "c = 3a - 5
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\n" ); document.write( "Replace b and c in the 1st equation, find a
\n" ); document.write( "a + (2a+2) + (3a-5) = 123
\n" ); document.write( "Combine like terms
\n" ); document.write( "6a - 3 = 123
\n" ); document.write( "6a = 123 + 3
\n" ); document.write( "6a = 126
\n" ); document.write( "a = $\"126%2F6\"$
\n" ); document.write( "a = 21
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\n" ); document.write( "I'll let you find b and c, check by finding the sum of all three values \r
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