document.write( "Question 220990: The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.\r
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document.write( "I already tried x+2+2y = 56 with the substitution of x= 56-y \n" );
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Algebra.Com's Answer #165798 by drj(1380)![]() ![]() You can put this solution on YOUR website! The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.\r \n" ); document.write( "\n" ); document.write( "I already tried x+2+2y = 56 with the substitution of x= 56-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good effort...I think you made the wrong substitution or equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be the smaller integer and y be the larger integer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Then y=2x+2 since the larger exceeds twice the smaller by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. x+y=56 or x=56-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Then substituting \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( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 2y to both sides\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 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( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check equation if true in Step 2... 2*x+2=2*18+2=38...which is a true statement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The numbers are 18 and 38.\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( " |