Question

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Answer 1

Step-by-step explanation:

Let,

the two digit number be 10y + x

No. obtained by interchanging the digits = 10x + y

now,

the sum of the two digit numbers and the number obtained by interchanging the digits = 99

= 10x + y + 10y + x = 99

=> 11x + 11y = 99

=> x + y = 9

here, only one equation can be formed, i.e. 18, 81, 54, 45, 27, 72, 36, 63.