Question

The sum of a two-digit number and the
number obtained
by interchanging the
digits is 99​

Answer 1

Answer:

50+49 that's it brainliest

Answer 2

Answer:

18

27

36

45

54

63

72

81

90

Explanation:

Let the unit place number be y and the ten's place number be x.

So, the number becomes, 10x+y

By interchanging the digits,

the number is 10y+x.

From the given condition,

10x+y + 10y+x = 99

11x+11y = 99

x + y = 9 ... ( Dividing both sides by 11)

Now,

Let x=1

then,

1+y =9

y = 8

So, the number is 18.

Similarly, we can take x = 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9.

So, we obtain following numbers :

18

27

36

45

54

63

72

81

90