document.write( "Question 10788: the sum of Mrs.Black's age and her daughter's age is 56 years. In 8 years, Mrs. Black will be twice as old as her daughter. How old is her daughter now? \n" ); document.write( "
Algebra.Com's Answer #5666 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = age of the daughter now. \n" ); document.write( "y = age of Mrs. Black now.\r \n" ); document.write( "\n" ); document.write( "x+8 = daughter's age in 8 years \n" ); document.write( "y+8 = Mrs. Black's age in 8 years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two equations are needed, since there are two unknowns:\r \n" ); document.write( "\n" ); document.write( "Sum of the ages now is 56. \n" ); document.write( "x+ y = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mrs. Black will be twice as old as her daughter. \n" ); document.write( "y+8 = 2(x+8) Solve for y: \n" ); document.write( "y +8 = 2x + 16 \n" ); document.write( "y+8-8 = 2x + 16-8 \n" ); document.write( "y = 2x + 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute into \n" ); document.write( "x+y = 56 \n" ); document.write( "x+(_____) = 56 \n" ); document.write( "x+ (2x +8)= 56 \n" ); document.write( "3x + 8=56 \n" ); document.write( "2x = 48 \n" ); document.write( "x= 16 Daughter's age now\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 56 \n" ); document.write( "16 + y = 56 \n" ); document.write( "y = 40 = Mother's age now\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In 8 years, daughter will be 24. \n" ); document.write( "In 8 years, Mother will be 48. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check is that in 8 years, mother will be twice as old as daughter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " \n" ); document.write( " |