document.write( "Question 228196: The sum of three consecutive integers is 47 less than the least of the integers. Show work to understand \n" ); document.write( "
Algebra.Com's Answer #169463 by drj(1380)![]() ![]() You can put this solution on YOUR website! The sum of three consecutive integers is 47 less than the least of the integers. Show work to understand.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let n be the first and the least of the integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let n+1 and n+2 be the next two consecutive integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let n+n+1+n+2 be the sum of the three consecutive integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Let n-47 be 47 less than the least of the integers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Then n+n+1+n+2=n-47 since the sum of three consecutive integers is 47 less than the least of the integers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. Solving n+n+1+n+2=n-47 leads to the following steps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 3 from both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract n from both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 2 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check if sum if 47 less than the least.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The three consecutive numbers are -25, -24, and -23.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |