document.write( "Question 228836: The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers. Thank you very much. \n" ); document.write( "
Algebra.Com's Answer #169773 by drj(1380)![]() ![]() You can put this solution on YOUR website! The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers. Thank you very much.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let n be the first number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let 2n-9 be the second number since it is 9 less than two times the first number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 3n+6 be the third number since it is 6 more than three times the first number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Then n+2n-9+3n+6=123 since their sum is 123.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Solving n+2n-9+3n+6=123 yields the following steps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 3 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( "Divide by 6 to both sides of 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( "Note the above numbers should add up to 123: 21+33+69=123...which it does.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The numbers are 21,33, and 69.\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 \n" ); document.write( " \n" ); document.write( " |