document.write( "Question 1207224: Tommy’s age is 2/3 Ben’s age now. In 8 years time, the ratio of Tommy’s age to Ben’s age will be 10:13. How old is Tommy now? \n" ); document.write( "
Algebra.Com's Answer #844974 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Tommy’s age is 2/3 Ben’s age now. In 8 years time, the ratio of Tommy’s age to Ben’s age will be 10:13. How old is Tommy now?\r
\n" ); document.write( "\n" ); document.write( "Let Ben's age be x
\n" ); document.write( "Tom'my's age will be 2x/3\r
\n" ); document.write( "\n" ); document.write( "In 8 years\r
\n" ); document.write( "\n" ); document.write( "Ben's age x+8
\n" ); document.write( "Tommy's age will be (2x/3 )+8\r
\n" ); document.write( "\n" ); document.write( " the ratio of Tommy’s age to Ben’s age will be 10:13.
\n" ); document.write( "(
\n" ); document.write( "(2x/3)+8) /( x+8) = 10/13\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "((2x+24)/3 )/(x+8)= 10/13\r
\n" ); document.write( "\n" ); document.write( "(2x+24)/3(x+8) =10/13\r
\n" ); document.write( "\n" ); document.write( "(2x+24)/(3x+24) = 10/13\r
\n" ); document.write( "\n" ); document.write( "13(2x+24)= 10(3x+24)\r
\n" ); document.write( "\n" ); document.write( "26x +312 = 30x +240\r
\n" ); document.write( "\n" ); document.write( "4x = 72\r
\n" ); document.write( "\n" ); document.write( "x = 18 Ben's age \r
\n" ); document.write( "\n" ); document.write( "Tommy's age = 2/3 * 18 = 12 years now\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" );