document.write( "Question 890168: The sum of Andy and Mandy's age is 20. The product of their age is 96. If Andy is older then Mandy how old is andy use equations with a letter representing the unknown. \n" ); document.write( "
Algebra.Com's Answer #538775 by alexlove054@gmail.com(10)![]() ![]() ![]() You can put this solution on YOUR website! there's a mistake in the question the sum of their age is supposed to 20. \n" ); document.write( "let their ages be x and y \n" ); document.write( "x y=20.....1 \n" ); document.write( "xy=96.......2 \n" ); document.write( "make x the subject of the formula in equation 1 \n" ); document.write( "x=20-y......3 \n" ); document.write( "put in equation 2 \n" ); document.write( "(20-y)y=96 \n" ); document.write( "20y-y^2=96 \n" ); document.write( "take the left side to the right \n" ); document.write( "y^2-20 96=0 \n" ); document.write( "factorize \n" ); document.write( "y^2-12y-8y 96=0 \n" ); document.write( "y(y-12)-8(y-12)=0 \n" ); document.write( "y=8 and y=12 \n" ); document.write( "put y in equation 3 \n" ); document.write( "x=20-8=12 \n" ); document.write( "x=12 \n" ); document.write( "and y =8 \n" ); document.write( " |