document.write( "Question 998811: the age of father exceeds to the square of the age of his son by 4 years. the sum of the age of father and four times the age of his son is 64 years. find their ages. \n" ); document.write( "
Algebra.Com's Answer #616563 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let son be y years \n" ); document.write( "father be x years\r \n" ); document.write( "\n" ); document.write( "x= y^2+4\r \n" ); document.write( "\n" ); document.write( "x+4y =64\r \n" ); document.write( "\n" ); document.write( "substitute x\r \n" ); document.write( "\n" ); document.write( "y^2+4+4y=64\r \n" ); document.write( "\n" ); document.write( "y^2+4y-60=0\r \n" ); document.write( "\n" ); document.write( "y^2+10y-6y+60=0\r \n" ); document.write( "\n" ); document.write( "y(y+10)-6(y+10)=0\r \n" ); document.write( "\n" ); document.write( "(y+10)(y-6)=0\r \n" ); document.write( "\n" ); document.write( "y= 6 OR -10\r \n" ); document.write( "\n" ); document.write( "discard -10\r \n" ); document.write( "\n" ); document.write( "son's age = 6 years\r \n" ); document.write( "\n" ); document.write( "Father's age = 40 years\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |