document.write( "Question 105722: the difference of two numbers is 19 the larger number is 3 more than twice the smaller. find the numbers \n" ); document.write( "

Algebra.Com's Answer #76905 by HyperBrain(694) $\"\"$ $\"About$

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Let x=the larger number
\n" ); document.write( "____y=the smaller number\r
\n" ); document.write( "\n" ); document.write( "If the difference of two numbers is 19,then,\r
\n" ); document.write( "\n" ); document.write( " $\"x-y=19\"$ \r
\n" ); document.write( "\n" ); document.write( "If the larger number is 3 more than twice the smaller,\r
\n" ); document.write( "\n" ); document.write( " $\"x=2y%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "Substituting $\"x=2y%2B3\"$ to $\"x-y=19\"$ ,\r
\n" ); document.write( "\n" ); document.write( " $\"2y%2B3-y=19\"$
\n" ); document.write( " $\"2y-y%2B3=19\"$
\n" ); document.write( " $\"y%2B3=19\"$
\n" ); document.write( " $\"y%2B3-3=19-3\"$
\n" ); document.write( " $\"y%2B0=16\"$
\n" ); document.write( " $\"y=16\"$ \r
\n" ); document.write( "\n" ); document.write( "But, $\"x=2y%2B3\"$ . So,\r
\n" ); document.write( "\n" ); document.write( " $\"x=2%2816%29%2B3\"$
\n" ); document.write( " $\"x=32%2B3\"$
\n" ); document.write( " $\"x=35\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore, the two numbers are 16 and 35.\r
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain! \n" ); document.write( "

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