document.write( "Question 398107: A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER \n" ); document.write( "
Algebra.Com's Answer #282196 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! two digits, x & y \n" ); document.write( "10x + y = the number \n" ); document.write( ": \n" ); document.write( " A two digit number is 4 times the sum of its digits \n" ); document.write( "10x + y = 4(x+y) \n" ); document.write( "10x + y = 4x + 4y \n" ); document.write( "10x - 4x = 4y - y \n" ); document.write( "6x = 3y \n" ); document.write( "divide both sides by 3 \n" ); document.write( "2x = y\r \n" ); document.write( "\n" ); document.write( " \" and twice the product of its digit.\" \n" ); document.write( "10x + y = 2xy \n" ); document.write( "Replace y with 2x \n" ); document.write( "10x + 2x = 2*x*2x \n" ); document.write( "12x = 4x^2 \n" ); document.write( "Divide both sides by 4x \n" ); document.write( "3 = x \n" ); document.write( "then \n" ); document.write( "y = 2(3) \n" ); document.write( "y = 6 \n" ); document.write( ": \n" ); document.write( "the number = 36 \n" ); document.write( ": \n" ); document.write( "You can confirm this in both statement: \n" ); document.write( "36 = 4(3+6) \n" ); document.write( "and \n" ); document.write( "36 = 2(3*6)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |