document.write( "Question 750646: When Matthew is 12 years old his mother is 3 times as old. How many years must pass before his mother is twice as old? How many years ago was she 7 times as old? \n" ); document.write( "
Algebra.Com's Answer #456746 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! When Matthew is 12 years old his mother is 3 times as old. \n" ); document.write( "Matt = 12, Mother = 36 \n" ); document.write( ": \n" ); document.write( " How many years must pass before his mother is twice as old? \n" ); document.write( "let y = no. of years for this to be true \n" ); document.write( "y + 36 = 2(y+12) \n" ); document.write( "y + 36 = 2y + 24 \n" ); document.write( "36 - 24 = 2y - y \n" ); document.write( "12 = y \n" ); document.write( "This will be true in 12 yrs (Mom will be 48, Matt will be 24) \n" ); document.write( ": \n" ); document.write( " How many years ago was she 7 times as old? \n" ); document.write( "let z = no. of yrs for this to be true \n" ); document.write( "36-z = 7(12-z) \n" ); document.write( "36 - z = 84 - 7z \n" ); document.write( "-z + 7z = 84 - 36 \n" ); document.write( "6z = 48 \n" ); document.write( "z = 8 yrs for this to be true. (Mom will be 28, Matt will be 4) \n" ); document.write( " |