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)\"\" \"About 
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( "
\n" );