document.write( "Question 1007947: The sum of Mrs. Blacks age and her daughters age is 56 years. In 8 years, Mrs. Black will be twice as old as her daughter. How old is her daughter right now \n" ); document.write( "
Algebra.Com's Answer #623760 by tiffany222(56)![]() ![]() ![]() You can put this solution on YOUR website! Let Mrs. Black's age be x \n" ); document.write( "Let the daughter's age be y\r \n" ); document.write( "\n" ); document.write( "x + y = 56 \n" ); document.write( "x + 8 = 2(y + 8) \n" ); document.write( "x + 8 = 2y + 16 \n" ); document.write( "x - 2y = 8\r \n" ); document.write( "\n" ); document.write( "Equations: \n" ); document.write( "x + y = 56 \n" ); document.write( "x - 2y = 8 \n" ); document.write( "Subtract to eliminate x: \n" ); document.write( "3y = 48 \n" ); document.write( "y = 16\r \n" ); document.write( "\n" ); document.write( "Substitute y into one of the original equations to get x: \n" ); document.write( "x + y = 56 \n" ); document.write( "x + 16 = 56 \n" ); document.write( "x = 40\r \n" ); document.write( "\n" ); document.write( "Final Answer: \n" ); document.write( "Mrs. Black's age = 40 \n" ); document.write( "Daughter's age = 16 \n" ); document.write( " |