document.write( "Question 171885: The lager of two integers is 8 less than twice the smaller. When the smaller number is subtracted from the larger, the difference is 17. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #127083 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two numbers x = the larger, y = the smaller
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"The larger of two integers is 8 less than twice the smaller.\"
\n" ); document.write( "x = 2y - 8
\n" ); document.write( ":
\n" ); document.write( "\"When the smaller number is subtracted from the larger, the difference is 17.\"
\n" ); document.write( "x - y = 17
\n" ); document.write( ":
\n" ); document.write( "Find the two numbers.
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\n" ); document.write( "Using the 1st statement equation, substitute (2y-8) for x in 2nd equation
\n" ); document.write( "(2y-8) - y = 17
\n" ); document.write( "2y - y = 17 + 8
\n" ); document.write( "y = 25
\n" ); document.write( ":
\n" ); document.write( "Then find x:
\n" ); document.write( "x = 2(25) - 8
\n" ); document.write( "x = 50 - 8
\n" ); document.write( "x = 42
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\" When the smaller number is subtracted from the larger, the difference is 17.\"
\n" ); document.write( "42 - 25 = 17 \n" ); document.write( "

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