document.write( "Question 533544: It is an even two-digit number,the difference of the two digits is 7, and the sum of the digits' squares is 49. What is the even two-digit number? \n" ); document.write( "
Algebra.Com's Answer #352232 by lwsshak3(11628) ![]() You can put this solution on YOUR website! It is an even two-digit number,the difference of the two digits is 7, and the sum of the digits' squares is 49. What is the even two-digit number? \n" ); document.write( "** \n" ); document.write( "u=one's digit \n" ); document.write( "t=ten's digit \n" ); document.write( ".. \n" ); document.write( "t-u=7 \n" ); document.write( "u=t-7 \n" ); document.write( "t^2+u^2=49 \n" ); document.write( "t^2+(t-7)^2=49 \n" ); document.write( "t^2+t^2-14t+49=49 \n" ); document.write( "2t^2-14t=0 \n" ); document.write( "t^2-7t=0 \n" ); document.write( "t(t-7)=0 \n" ); document.write( "t=0 \n" ); document.write( "u=t-(-7)=0+7=7 \n" ); document.write( "ut=70 \n" ); document.write( "or \n" ); document.write( "t=7 \n" ); document.write( "u=t-7=0-7=-7 \n" ); document.write( "ut=-70 \n" ); document.write( "ans: \n" ); document.write( "The even two-digit number=70 \n" ); document.write( " |