document.write( "Question 167536: Find the greatest possible pair of integers such that one integer is 2 less than three times the other and the sum is less than 42 \n" ); document.write( "
Algebra.Com's Answer #123426 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Find the greatest possible pair of integers such that one integer is 2 less than three times the other and the sum is less than 42
\n" ); document.write( ".
\n" ); document.write( "Let x = one integer
\n" ); document.write( "and y = other integer
\n" ); document.write( ".
\n" ); document.write( "x = 3y-2
\n" ); document.write( "x+y<42
\n" ); document.write( ".
\n" ); document.write( "3y-2 + y < 42
\n" ); document.write( "4y-2 < 42
\n" ); document.write( "4y < 44
\n" ); document.write( "y < 11
\n" ); document.write( ".
\n" ); document.write( "If y < 11, the greatest possible value for y is 10.
\n" ); document.write( ".
\n" ); document.write( "x = 3y-2
\n" ); document.write( "x = 3(10)-2
\n" ); document.write( "x = 30-2
\n" ); document.write( "x = 28
\n" ); document.write( ".
\n" ); document.write( "The two integers: 10 and 28
\n" ); document.write( "
\n" ); document.write( "
\n" );