document.write( "Question 1035569: a two digit number is obtained by multiplying the sum of the digits by 8.also it is obtained by multiplying the difference of the digits by 14 and adding 2 find the number \n" ); document.write( "
Algebra.Com's Answer #650294 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the two-digit number xy, where x is the tens and y is the ones. Its value is 10x + y. \n" ); document.write( "Then we can write \n" ); document.write( "8(x + y) = 10x + y \n" ); document.write( "and \n" ); document.write( "14(x - y) + 2 = 10x + y \n" ); document.write( "Simplifying these we get \n" ); document.write( "8x + 8y = 10x + y \n" ); document.write( "7y = 2x (or 14y = 4x) \n" ); document.write( "and \n" ); document.write( "14x - 14y + 2 = 10x + y \n" ); document.write( "4x + 2 = 15y \n" ); document.write( "Substitute from above and get \n" ); document.write( "14y + 2 = 15y \n" ); document.write( "y = 2 \n" ); document.write( "so then x = 7 \n" ); document.write( "Your number is 72. \n" ); document.write( " |