document.write( "Question 571976: The sum of 4 consecutive odd nos is 80.find d nos \n" ); document.write( "
Algebra.Com's Answer #368572 by mathsmiles(68)![]() ![]() You can put this solution on YOUR website! The sum of 4 consecutive odd number is 80\r \n" ); document.write( "\n" ); document.write( "Let X be the first of these numbers \n" ); document.write( "Then the next odd number is X+2 \n" ); document.write( "The third is X+4 \n" ); document.write( "The fourth is X+6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All of these add up to 80 \n" ); document.write( "(X) + (X+2) + (X+4) + (X+6) = 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using the commutative and associative laws, let's transform this equation into \n" ); document.write( "(X + X + X + X) + (2 + 4 + 6) = 80 \n" ); document.write( "4X + 12 = 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 12 from both sides of the equation gives \n" ); document.write( "4X = 68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 4 gives \n" ); document.write( "X = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Going back to the original question: \n" ); document.write( "What are the 4 consecutive odd numbers: 17, 19, 21, 23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Checking our answer: \n" ); document.write( "17 + 19 + 21 + 23 = 80 Correct! \n" ); document.write( " |