document.write( "Question 243058: Find four consecutive even integers whose sum is 244 \n" ); document.write( "
Algebra.Com's Answer #178077 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! You have 4 consecutive numbers: w, x, y & z. \n" ); document.write( "Their sum is 244: w + x + y + z = 244. \n" ); document.write( "Hmmm... \n" ); document.write( "We appear to have four unknowns and only one equation. That cannot be solved. \n" ); document.write( "But there is a strong hint: They're consecutive. \n" ); document.write( "So we can say, \n" ); document.write( "x = w+2 \n" ); document.write( "y = x+2 \n" ); document.write( "z = y+2 \n" ); document.write( "That's better, but we still have too many variables. So, let's try: \n" ); document.write( "x = w+2 \n" ); document.write( "y = w+4 \n" ); document.write( "z = w+6 \n" ); document.write( "Now we have one equation and one unknown: \n" ); document.write( "w + w+2 + w+4 + w+6 = 244 \n" ); document.write( "4w + 12 = 244 \n" ); document.write( "4w = 232 \n" ); document.write( "w = 58 \n" ); document.write( "Checking this solution, we have: \n" ); document.write( "58+60+62+64 = 244 \n" ); document.write( "Done. \n" ); document.write( " |