document.write( "Question 888980: of two numbers , 4 times the smaller one is less than 3 times the larger one by 6, the sum of two numbers is larger than 6 times their difference by 5. find the numbers
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #537855 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
of two numbers ,
\n" ); document.write( "a & b
\n" ); document.write( ":
\n" ); document.write( " 4 times the smaller one is less than 3 times the larger one by 6,
\n" ); document.write( "3a - 4b = 6
\n" ); document.write( "rewrite this to
\n" ); document.write( "4b = 3a - 6
\n" ); document.write( "b = \"3%2F4\"b - \"6%2F4\"
\n" ); document.write( "b = .75a - 1.5
\n" ); document.write( ":
\n" ); document.write( " the sum of two numbers is larger than 6 times their difference by 5.
\n" ); document.write( "a + b - 6(a-b) = 5
\n" ); document.write( "a + b - 6a + 6b = 5
\n" ); document.write( "-5a + 7b = 5
\n" ); document.write( "replace b with (.75a - 1.5)
\n" ); document.write( "-5a + 7(.75a - 1.5) = 5
\n" ); document.write( "-5a + 5.25a - 10.5 = 5
\n" ); document.write( ".25a = 5 + 10.5
\n" ); document.write( ".25a = 15.5
\n" ); document.write( "a = 4(15.5)
\n" ); document.write( "a = 62
\n" ); document.write( "Find b
\n" ); document.write( "b = .75(62) - 1.5
\n" ); document.write( "b = 46.5 - 1.5
\n" ); document.write( "b = 45
\n" ); document.write( ":
\n" ); document.write( " find the numbers: 62 and 45
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for yourself, use these two values in both statements \n" ); document.write( "
\n" );