document.write( "Question 257635: Mary's age is twice Fred's age and one-third of Sally's age. If the sum of their ages is 99,how old are the three friends ? \n" ); document.write( "
Algebra.Com's Answer #189520 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = mary's age \n" ); document.write( "f = fred's age \n" ); document.write( "s = sally's age.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = 2*f \n" ); document.write( "m = s/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this leads to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = m/2 \n" ); document.write( "s = 3*m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sume of their ages is 99.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m + f + s = 99\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for f and s to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m + m/2 + 3*m = 99\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4*m + m/2 = 99\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since m/2 = .5*m, this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4.5 * m = 99\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide 99 by 4.5 to get m = 22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = m/2 = 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s = 3*m = 66\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "their ages are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = 22 \n" ); document.write( "f = 11 \n" ); document.write( "s = 66\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sum of their ages is 99.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "mary is 22 years old \n" ); document.write( "fred is 11 years old \n" ); document.write( "sally is 66 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |