document.write( "Question 106550: The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #77595 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers?
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\n" ); document.write( "Just write what it says:
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\n" ); document.write( "\"The sum of two numbers is 82.\"
\n" ); document.write( "Let larger number = x;
\n" ); document.write( "then
\n" ); document.write( "(82-x) = the smaller number
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\n" ); document.write( "\"The larger number is 17 less than twice the smaller number\"
\n" ); document.write( "x = 2(82-x) - 17
\n" ); document.write( "x = 164 - 2x - 17
\n" ); document.write( "x + 2x = 164 - 17
\n" ); document.write( "3x = 147
\n" ); document.write( "x = 147/3
\n" ); document.write( "x = 49
\n" ); document.write( "Then
\n" ); document.write( "82 - 49 = 33 = the smaller number
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\n" ); document.write( "Check our solution using the statement:
\n" ); document.write( "\"The larger number is 17 less than twice the smaller number.\"
\n" ); document.write( "49 = 2(33) - 17
\n" ); document.write( "49 = 66 - 17; confirms our solution\r
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