document.write( "Question 1058403: Danny was born exactly 4 years before Beth. The product of their age is 96. How old is Beth? \n" ); document.write( "
Algebra.Com's Answer #673452 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent Beth's age.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since Danny was born 4 years before Beth, his age is represented by x + 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And since the product of their ages is 96 you can write:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x + 4) = 96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 4x = 96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 4x - 96 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x + 12)(x - 8) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -12, x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since Beth's age must be positive, the x = -12 solution is discarded.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution: Beth's age is 8. \n" ); document.write( " |