Question

3. Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the
resulting new number is greater than the original number by 27. What is the two-digit number?
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Answer 1

The new number is greater than the old number by 27, i.e. Adding the two equations, we get 2y = 12 or y = 6. Thus, x = 3. Therefore, the original number is 36.

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