Q2. Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
(iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
Let the unit digit of the number be x and 10's digit be y.
Now, According to the question,
Now adding (1) and (2) we get,
now putting this value in (1)
Hence the number is 18.