document.write( "Question 259429: the sum of the digits of a two digit number is 15. if the digits are interchange the result exceeds the original number by 9. find the number. \n" ); document.write( "
Algebra.Com's Answer #190985 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Let the number be xy. \n" ); document.write( "Given,the sum of the digits of a two digit number is 15. \n" ); document.write( " x+y = 15 ...(1) \n" ); document.write( "Also, if the digits are interchanged the result exceeds the original number by 9. \n" ); document.write( " 10y+x=10x+y+9 \n" ); document.write( " 10y+x-10x-y=9 \n" ); document.write( " 9y-9x=9 \n" ); document.write( " y-x=1 ...(2) \n" ); document.write( "(1)+(2) => 2y = 16 \n" ); document.write( " y = 16/2 = 8 \n" ); document.write( "(1) => x+8=15 \n" ); document.write( " x=15-8=7 \n" ); document.write( "Therefore the given number is 78 \n" ); document.write( " |