document.write( "Question 254441: Please help. I've been trying to solve this problem: Find two consecutive odd integers whose sum is 2 less than twice the larger. my working equation is: (x)+(x+2)=2(x+2)-2 (x is an odd integer; x+2 is the larger integer). All I get is 0! There must be something wrong with what I'm doing. Please help. Thanks! \n" ); document.write( "
Algebra.Com's Answer #186750 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x+x+2=2(x+2)-2 \n" ); document.write( "2x+2=2x+4-2 \n" ); document.write( "2x=2x \n" ); document.write( "x=1 or zero\r \n" ); document.write( "\n" ); document.write( "check 1 \n" ); document.write( "1+3=2(3)-2 \n" ); document.write( "4=6-2 \n" ); document.write( "4=4 \n" ); document.write( "ok \n" ); document.write( "Integers are 1 and 3\r \n" ); document.write( "\n" ); document.write( "Another way to guarantee only odd answers for the variable is make the variable 2n+1 and 2n+3 \n" ); document.write( "2n+1+2n+3=2(2n+3)-2 \n" ); document.write( "4n+4=4n+6-2 \n" ); document.write( "4n=4n \n" ); document.write( "n=0 or 1 \n" ); document.write( "odd must be 2n+1 \n" ); document.write( "2*0+1=1 \n" ); document.write( "check \n" ); document.write( "1+3=2*3-2 \n" ); document.write( "4=4 \n" ); document.write( "ok \n" ); document.write( "2*1+1=3\r \n" ); document.write( "\n" ); document.write( "check \n" ); document.write( "3+5=2(5)-2 \n" ); document.write( "8=8 \n" ); document.write( "ok \n" ); document.write( "So this way we get pairs (1 and 3) and (3 and 5)\r \n" ); document.write( "\n" ); document.write( "But I think ALL odd numbers fit the criteria \n" ); document.write( "23 +25=2(25)-2 \n" ); document.write( "48=50-2 \n" ); document.write( " \n" ); document.write( " |