document.write( "Question 695564: The sum of the ages of Ruffa and Ai is 65. In 2 years Ruffa will be half as old as Ai. How old are they 3 years ago? \n" ); document.write( "
Algebra.Com's Answer #806686 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! r = Ruffa's age \n" ); document.write( "a = Ai's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r + a = 65 \n" ); document.write( "r + 2 = 1/2 * (a + 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute r = 65 - a into the second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "65 - a + 2 = 1/2 * (a + 2) \n" ); document.write( "67 - a = 1/2 * (a + 2) \n" ); document.write( "134 - 2a = a + 2 \n" ); document.write( "132 = 3a \n" ); document.write( "a = 44 -----> r = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 years ago: \n" ); document.write( "Ai was 44 - 3 = 41 years old \n" ); document.write( "Ruffa was 21 - 3 = 18 years old \n" ); document.write( " |