document.write( "Question 984634: Mary, who is sixteen years old, is four times as old as her brother. How old will Mary be when she is twice as old as her brother? \n" ); document.write( "
Algebra.Com's Answer #605426 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "M=Mary's age=16 yrs; B=brothers age; X=number of years until Mary is twice as old \n" ); document.write( "M=4B \n" ); document.write( "16 yrs=4B \n" ); document.write( "4yrs=B Brother is 4 years old. \n" ); document.write( ". \n" ); document.write( "M+X=2(B+X) \n" ); document.write( "16yrs+X=2(4yrs+X) \n" ); document.write( "16yrs+X=8yrs+2X \n" ); document.write( "8yrs=X In 8 years Mary will be twice as old as brother. \n" ); document.write( "M+8yrs=16yrs+8yrs=24yrs \n" ); document.write( "ANSWER: Mary will be 24 years old when she is twice as old as her brother. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "16yrs+8yrs=2(4yrs+8yrs) \n" ); document.write( "24yrs=2(12yrs) \n" ); document.write( "24yrs=24yrs \n" ); document.write( ". \n" ); document.write( "In 8 years, Mary will be 24 and brother will be 12. \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |