document.write( "Question 845066: the sum of two numbers is 38 the larger number is 8 more than the smaller number what are the numbers \n" ); document.write( "

Algebra.Com's Answer #509123 by pmesler(52) $\"\"$ $\"About$

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Let x = the first number.
\n" ); document.write( "Let x + 8 = the second and larger number.\r
\n" ); document.write( "\n" ); document.write( "Next we can write x + (x+8) = 38. \r
\n" ); document.write( "\n" ); document.write( "Now, we just solve for x.\r
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\n" ); document.write( "\n" ); document.write( "Combine like terms and we get \r
\n" ); document.write( "\n" ); document.write( "2x + 8 = 38.\r
\n" ); document.write( "\n" ); document.write( "Subtract 8 from both sides.\r
\n" ); document.write( "\n" ); document.write( "2x = 30\r
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\n" ); document.write( "\n" ); document.write( "Divide each side by two\r
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\n" ); document.write( "\n" ); document.write( "x = 15. \r
\n" ); document.write( "\n" ); document.write( "x + 8 = 23.\r
\n" ); document.write( "\n" ); document.write( "Therefore the first number is 8, and the second number is 23. \r
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\n" ); document.write( "\n" ); document.write( "Let's check.\r
\n" ); document.write( "\n" ); document.write( "15 + 23 = 38. \r
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