document.write( "Question 222583: Carl is twice as old as Rita. Meg is 5 years older than Carl. If the combined age is 155, how old is Meg? \n" ); document.write( "
Algebra.Com's Answer #166642 by drj(1380)![]() ![]() You can put this solution on YOUR website! Carl is twice as old as Rita. Meg is 5 years older than Carl. If the combined age is 155, how old is Meg?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be the age of Rita.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let 2x be the age of Carl since he is twice as old as Rita.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let 2x+5 since Meg is 5 years older than Carl.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Then x+2x+2x+5=155 since their combined age is 155.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Solving the equation in Step 4 yields the following steps.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 5 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 5 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( "Step 6. ANSWER: The age of Meg is 65 years old. Note that Carl is 60 years old and Rita is 30 years old.\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( " |