document.write( "Question 694693: The sum of the digits of a two-digit number is 10. Of the digits are reversed, the new number is 36 more than the original number. Find the original number \n" ); document.write( "
Algebra.Com's Answer #428130 by sachi(548)![]() ![]() You can put this solution on YOUR website! The sum of the digits of a two-digit number is 10. \n" ); document.write( " let the ones digit is x then tens digit is 10-x \n" ); document.write( " then the no is 10(10-x)+x........original no \n" ); document.write( " If the digits are reversed, \n" ); document.write( " the no is 10x+(10-x)...........new no \n" ); document.write( " the new number is 36 more than the original number. \n" ); document.write( " so 10x+(10-x)=36+10(10-x)+x \n" ); document.write( " or 9x+10=136-9x \n" ); document.write( " or 18x=136-10=126 \n" ); document.write( " or x=7 is the ones digit \n" ); document.write( " so the tens digit ig 10-7=3 \n" ); document.write( " so the original number is 37 \n" ); document.write( " |