document.write( "Question 410550: Find 2 consecutive odd integers such that 6 times the first is 10 more than 4 time the second \n" ); document.write( "
Algebra.Com's Answer #288696 by Earlsdon(6294) ![]() You can put this solution on YOUR website! Let (2x+1) = the first odd number then the next consecutive odd number will be (2x+1)+2 = (2x+3) \n" ); document.write( "Notice that whatever value you may assign to x, 2x+1 will always be odd. \n" ); document.write( "6(2x+1) = 4(2x+3)+10 \"...6 times the first is 10 more than 4 times the second.\" \n" ); document.write( "Simplify and solve for x. \n" ); document.write( "(12x+6) = (8x+12)+10 Combine like-terms. Subtract 8x from both sides. \n" ); document.write( "4x+6 = 12+10 Subtract 6 from both sides. \n" ); document.write( "4x = 16 Finally, divide by 4. \n" ); document.write( "x = 4 and... \n" ); document.write( "2x+1 = 2(4)+1 = 9 \n" ); document.write( "2x+3 = 2(4)+3 = 11 \n" ); document.write( "The two numbers are: 9 and 11 \n" ); document.write( " \n" ); document.write( " |