document.write( "Question 517504: Mary is half as old as Tom. George is 3 years older than tom. The sum of Mary,tom,and george's ages is 58..How old is tom? \n" ); document.write( "
Algebra.Com's Answer #344839 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of George = g \n" ); document.write( "Present age of Tom =t \n" ); document.write( "Present age of Mary = m\r \n" ); document.write( "\n" ); document.write( "Mary is half as old as Tom \n" ); document.write( "m=1/2*t \n" ); document.write( "m=t/2...............(1) \n" ); document.write( "George is 3 years older than tom \n" ); document.write( "g=t+3...............(2) \n" ); document.write( "The sum of Mary,tom,and george's ages is 58 \n" ); document.write( "g+t+m=58 \n" ); document.write( "Put the value of g and m in above euqation \n" ); document.write( "(t+3)+t+(t/2)=58 \n" ); document.write( "t+3+t+(t/2)=58 \n" ); document.write( "Multiply by 2 both sides \n" ); document.write( "2*(t+3+t+(t/2))=2*58 \n" ); document.write( "2t+6+2t+t=116 \n" ); document.write( "5t=116-6 \n" ); document.write( "5t=110 \n" ); document.write( "5t/5=110/5 \n" ); document.write( "t=22\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Tom is 22 years old\r \n" ); document.write( "\n" ); document.write( "For George and Mary's age put the value of t in (1) and (2) \n" ); document.write( "m=t/2=22/2=11 \n" ); document.write( "g=22+3=25\r \n" ); document.write( "\n" ); document.write( "George is 25 and Mary is 11 years old \n" ); document.write( " \n" ); document.write( " |