document.write( "Question 333522: the tens digit of certain number is 3 more than the units digit. the sum of the squares of the two digits is 4 more than the number.find the number. \n" ); document.write( "
Algebra.Com's Answer #238995 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let number be xy \n" ); document.write( "x= y+3\r \n" ); document.write( "\n" ); document.write( "x^2+y^2= 10x+y +4 \n" ); document.write( "x^2+y^2-10x-y=4 \n" ); document.write( "plug value of x in equation \n" ); document.write( "(y+3)^2+y^2-10(y+3)-y=4 \n" ); document.write( "y^2+6y+9+y^2-10y-30-y=4 \n" ); document.write( "2y^2-5y-25=0 \n" ); document.write( "2y^2-10y+5y-25=0 \n" ); document.write( "2y(y-5)+5(y-5)=0 \n" ); document.write( "(2y+5)(y-5)=0 \n" ); document.write( "y=5 \n" ); document.write( "if y = 5 x= y+3 = 8 \n" ); document.write( "the number is 85 \n" ); document.write( " |