document.write( "Question 364141: my teacher wants me to write and algebraic equation for this question; find two consectutive integers whose sum is 75. she told me the equation is x+x+1 and the answer is 37, 38 but i dont know how you would get that equation.. she never explained it.... \n" ); document.write( "
Algebra.Com's Answer #259709 by amoresroy(361)\"\" \"About 
You can put this solution on YOUR website!
my teacher wants me to write and algebraic equation for this question; find two consectutive integers whose sum is 75. she told me the equation is x+x+1 and the answer is 37, 38 but i dont know how you would get that equation.. she never explained it....\r
\n" ); document.write( "\n" ); document.write( "Hi \r
\n" ); document.write( "\n" ); document.write( " x represents the 1st integer\r
\n" ); document.write( "\n" ); document.write( "(x+1) represents the 2nd integer. for consecutive integers the 2nd number is
\n" ); document.write( " 1 more than the 1st integer (example: if 1st integer is 5, the 2nd
\n" ); document.write( " consecutive integer is (5+1) which is 6)\r
\n" ); document.write( "\n" ); document.write( "So getting the sum of the 2 consecutive integers is:\r
\n" ); document.write( "\n" ); document.write( "x [1st integer] + (x+1)[2nd integer]\r
\n" ); document.write( "\n" ); document.write( "x + (x+1)\r
\n" ); document.write( "\n" ); document.write( "So the equation is\r
\n" ); document.write( "\n" ); document.write( "x+x+1 = 75\r
\n" ); document.write( "\n" ); document.write( "2x = 75-1
\n" ); document.write( "2x = 74
\n" ); document.write( " x = 37\r
\n" ); document.write( "\n" ); document.write( "x+1 = 37 +1 = 38\r
\n" ); document.write( "\n" ); document.write( "The 2 consecutive integers whose sum is 75 is 37 & 38 (37 + 38 = 75)
\n" ); document.write( "
\n" );