Question

The sum of a two digit number and the number obtained by inteechanging its digits is 99 .Find the number

Answer 1

Answer:

Step-by-step explanation:

Let the ten’s digit be m and one’s digit be n

Then number is 10m+n and the number we get by interchanging the digits is 10n+m

Then (10m+n)+(10n+m)=99

11m+11n=99

11(m+n)=99

m+n=9

So the number can be 18, 27, 36, 45, 54, 63, 72 or 81