SOLUTION: the sum of digits of a two digit number is 15.if the number form by reversing the digits is less than the original number by 27.find the original number.

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Question 460946: the sum of digits of a two digit number is 15.if the number form by reversing the digits is less than the original number by 27.find the original number.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

digits are x and (15-x).
Original number is 10*(15-x)+x , after reversing it is 10*x+(15-x).
10x + 15-x = 150 -10x + x -27
=> 18x = 108
=> x = 108/18 = 6
other digit = 15-6 = 9
so, original number is 96.