document.write( "Question 1057966: The sum of two numbers is 35. If the larger is doubled and the smaller is tripled,the difference is 5.find the numbers?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #672987 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Two numbers a & b
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "The sum of two numbers is 35.
\n" ); document.write( "a + b = 35
\n" ); document.write( "a = 35 - b; use this form for substitution
\n" ); document.write( ":
\n" ); document.write( " If the larger is doubled and the smaller is tripled, the difference is 5.
\n" ); document.write( "2a - 3b = 5
\n" ); document.write( "Replace a with (35-b)
\n" ); document.write( "2(35 - b) - 3b = 5\r
\n" ); document.write( "\n" ); document.write( "70 - 2b - 3b = 5
\n" ); document.write( "-5b = 5 - 70
\n" ); document.write( "-5b = -65
\n" ); document.write( "b = -65/-5
\n" ); document.write( "b = +13
\n" ); document.write( "then
\n" ); document.write( "a = 35 - 13
\n" ); document.write( "a = 22
\n" ); document.write( ":
\n" ); document.write( "See if that checks out in the 2nd equation
\n" ); document.write( "2(22) - 3(13) =
\n" ); document.write( "44 - 39 = 0
\n" ); document.write( ":
\n" ); document.write( " find the numbers? 22 & 13\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );