document.write( "Question 58201: Michelle is eight years older than Adam. Three years ago Michelle was twice as old as Adam was then. How old is Michelle? \n" ); document.write( "
Algebra.Com's Answer #39795 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let M = Michelle's present age. \n" ); document.write( "Let A = Adam's present age.\r \n" ); document.write( "\n" ); document.write( "M = A + 8 Michelle is 8 yrs older than Adam. \n" ); document.write( "M-3 = 2(A-3) 3 yrs ago, Michelle was twice Adam's age. Solve this equation for A and substitute into the first equation, then solve for M.\r \n" ); document.write( "\n" ); document.write( "M-3 = 2A-6 Add 6 to both sides. \n" ); document.write( "M+3 = 2A Divide both sides by 2 \n" ); document.write( "M/2+3/2 = A Substitute this into the first equation and solve for M\r \n" ); document.write( "\n" ); document.write( "M = ((M/2)+3/2)+8 Multiply by 2 to clear the fractions. \n" ); document.write( "2M = (M+3) + 16 Simplify. \n" ); document.write( "M = 19\r \n" ); document.write( "\n" ); document.write( "Michelle's age is 19. \n" ); document.write( " \n" ); document.write( " |