document.write( "Question 507499: the sum of two consecutive integers is 78. what are the integers? \n" ); document.write( "
Algebra.Com's Answer #340496 by oberobic(2304) ![]() You can put this solution on YOUR website! Two consecutive integers are not likely to total 78. \n" ); document.write( "I'll show you why. \n" ); document.write( ". \n" ); document.write( "Define the two consecutive numbers in terms of 'x'. \n" ); document.write( "x is the first number \n" ); document.write( "x+1 is the second number \n" ); document.write( ". \n" ); document.write( "x +x+1 = 78 \n" ); document.write( "2x +1 = 78 \n" ); document.write( "2x = 77 \n" ); document.write( "x = 38.5, which is not an integer \n" ); document.write( ". \n" ); document.write( "Two consecutive even integers could total 78. \n" ); document.write( ". \n" ); document.write( "x is the first even number \n" ); document.write( "x+2 is second even number (you add 2 to skip the odd number between the even numbers) \n" ); document.write( "x +x+2 = 78 \n" ); document.write( "2x+2 = 78 \n" ); document.write( "2x = 76 \n" ); document.write( "x = 38 \n" ); document.write( ". \n" ); document.write( "so the second even number is: \n" ); document.write( "x+2 = 40 \n" ); document.write( ". \n" ); document.write( "The consecutive even numbers are 38 and 40. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |