The sum of the digits of a two digit number is 9. The number formed by reversing the digits is 45 more than the original number find the original number.
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Step-by-step explanation: Let x be the unit digit and y be the ten's digit of the given two digit number.
Then, the given number is
According to the given information, we have
Substituting the value of x from equation (ii) in equation (i), we get
From equation (ii), we get
Therefore, the required two digit number is
Thus, the number is 27.
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