document.write( "Question 890537: one seventh of the sum of 2 numbers is 6, and 4 times their difference is 64. find these numbers \n" ); document.write( "
Algebra.Com's Answer #539055 by ankor@dixie-net.com(22740)\"\" \"About 
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one seventh of the sum of 2 numbers is 6, and 4 times their difference is 64. find these numbers
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\n" ); document.write( "let the two numbers be a & b
\n" ); document.write( "Write an equation for each statement, simplify as much as possible.
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\n" ); document.write( "\"one seventh of the sum of 2 numbers is 6,\"
\n" ); document.write( "\"1%2F7\"(a+b) = 6
\n" ); document.write( "multiply both sides by 7
\n" ); document.write( " a + b = 42
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\n" ); document.write( "\"and 4 times their difference is 64.\"
\n" ); document.write( "4(a-b) = 64
\n" ); document.write( "divide both sides by 4
\n" ); document.write( " a - b = 16
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\n" ); document.write( "Add the two simplified equations
\n" ); document.write( "a + b = 42
\n" ); document.write( "a - b = 16
\n" ); document.write( "-------------adding eliminates b, find a
\n" ); document.write( "2a = 58
\n" ); document.write( "a = 58/2
\n" ); document.write( "a = 29
\n" ); document.write( "Find b
\n" ); document.write( "29 + b = 42
\n" ); document.write( "b = 42 - 29
\n" ); document.write( "b = 13
\n" ); document.write( ":
\n" ); document.write( "these two numbers: 29 and 13
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\n" ); document.write( "Check this in the 2nd statement
\n" ); document.write( "4(29-13) = 64
\n" ); document.write( "4(16) = 64
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