document.write( "Question 943494: A woman is now 4 times older than her daughter. Six years ago, the product of their ages was 136. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #575226 by Merciful(5)![]() ![]() ![]() You can put this solution on YOUR website! Let x = present daughter's age \n" ); document.write( "Then 4x = woman's present age \n" ); document.write( "x - 6 = daughter's age six years ago \n" ); document.write( "4x - 6 = woman's age six years ago \n" ); document.write( "Therefore \n" ); document.write( "( x - 6 )( 4x - 6 ) = 136 \n" ); document.write( "4x^2 - 6x - 24x + 36 = 136 \n" ); document.write( "4x^2 - 30x - 100 = 0 \n" ); document.write( "2x^2 - 15x - 50 = 0 \n" ); document.write( "( 2x + 5 )( x - 10 ) = 0 \n" ); document.write( "x = 10 or x = -5/2 N/A the age can't be negative \n" ); document.write( "Daughter's age = 10 \n" ); document.write( "And woman's age = 4 X 10 = 40 \n" ); document.write( " |