document.write( "Question 518560: Anton is twice as old as Marie. Eight years ago, Anton was eight years younger than three times Marie's age. How old is Marie now? \n" ); document.write( "
Algebra.Com's Answer #345295 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Anton = a \n" ); document.write( "Present age of Marie = m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Anton is twice as old as Marie. \n" ); document.write( "a=2m.........(1) \n" ); document.write( "Eight years ago, \n" ); document.write( "Anton age = a-8 \n" ); document.write( "Marie age = m-8 \n" ); document.write( "Then, Anton was eight years younger than three times Marie's age. \n" ); document.write( "a-8=3(m-8)-8 \n" ); document.write( "a-8=3m-24-8 \n" ); document.write( "a=3m-24-8+8 \n" ); document.write( "a=3m-24.........(2) \n" ); document.write( "Put the value of a from (1) to (2) \n" ); document.write( "2m=3m-24 \n" ); document.write( "2m-3m=-24 \n" ); document.write( "-m=-24 \n" ); document.write( "Multiply by -1 both sides \n" ); document.write( "m=24\r \n" ); document.write( "\n" ); document.write( "Put the value of m in (1) \n" ); document.write( "a=2m \n" ); document.write( "a=2*24 \n" ); document.write( "a=48\r \n" ); document.write( "\n" ); document.write( "Present age of Anton = a = 48 years old \n" ); document.write( "Present age of Marie = m = 24 years old \n" ); document.write( " \n" ); document.write( " |