document.write( "Question 1167897: Grazielle is twice as old as Eric. After 8 years the product of their age is 384. How old is Eric? \n" ); document.write( "
Algebra.Com's Answer #792511 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Eric's age = x \n" ); document.write( "Grazille's age = 2x \n" ); document.write( " \n" ); document.write( "(x + 8)(2x + 8) = 384 \n" ); document.write( " \n" ); document.write( "2x² + 24x + 64 = 384 \n" ); document.write( " \n" ); document.write( "2x² + 24x - 320 = 0 \n" ); document.write( " \n" ); document.write( "x² + 12x - 160 = 0 \n" ); document.write( " \n" ); document.write( "(x - 8)(x + 20) = 0 \n" ); document.write( " \n" ); document.write( "x = 8 and x = -20 \n" ); document.write( " \n" ); document.write( "Obviously, Eric's age cannot be a negative number, so we are left with x = 8. \n" ); document.write( " \n" ); document.write( " |