document.write( "Question 468521: two numbers differ by 10. The larger number is 6 less than twice the smaller number. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #321514 by rfadrogane(214) $\"\"$ $\"About$

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two numbers differ by 10. The larger number is 6 less than twice the smaller number. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "Solution;
\n" ); document.write( "let x - the larger number
\n" ); document.write( "y - the smaller number\r
\n" ); document.write( "\n" ); document.write( "from the first phrase,
\n" ); document.write( " x - y = 10 ---- (1)\r
\n" ); document.write( "\n" ); document.write( "from the second phrase,
\n" ); document.write( " x = 2y - 6 ----(2)\r
\n" ); document.write( "\n" ); document.write( "then, substitute the value of x in (2) into (1),\r
\n" ); document.write( "\n" ); document.write( "2y - 6 - y = 10
\n" ); document.write( "y = 10 + 6
\n" ); document.write( "y = 16\r
\n" ); document.write( "\n" ); document.write( "for x:
\n" ); document.write( "x = 2y - 6
\n" ); document.write( "x = 2(16)-6
\n" ); document.write( "x = 26\r
\n" ); document.write( "\n" ); document.write( "and finally,\r
\n" ); document.write( "\n" ); document.write( "x = 26 and y = 16 <----- answer\r
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