document.write( "Question 1130579: The sum of the present ages of Arie and her mother is 64 years. In eight years, the sum of their ages will be three-fifths as old as her mother at that time. find the present age of Arie and her mother. (please use only one variable and thanks in advance) \n" ); document.write( "
Algebra.Com's Answer #753140 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! The sum of the present ages of Arie and her mother is 64 years: \r \n" ); document.write( "\n" ); document.write( "Arie's age = A \n" ); document.write( "Mother's age = 64-A \r \n" ); document.write( "\n" ); document.write( "In eight years, the sum of their ages will be three-fifths as old as her mother at that time: \r \n" ); document.write( "\n" ); document.write( "3/5*((A+8) + (64-A+8)) = 64-A+8 \r \n" ); document.write( "\n" ); document.write( "Simplify: \r \n" ); document.write( "\n" ); document.write( "3/5*(80) = 72-A \r \n" ); document.write( "\n" ); document.write( "48 = 72-A \r \n" ); document.write( "\n" ); document.write( "-24 = -A \r \n" ); document.write( "\n" ); document.write( "A = 24 \r \n" ); document.write( "\n" ); document.write( "Arie's age = A = 24 \n" ); document.write( "Mother's age = 64-A = 40 \n" ); document.write( " |