Question

In a two digit number the sum of the digits is 9. If tbe digits are reversed the number is increased by. Find the number

Answer 1

Answer:

Let, m and n be the two digits.

Then:

m+n=9

10m+n+9=10n+m

n=9-m

Then:

10m+(9-m)+9=10(9-m)+m

9m+18=90–9m

18m=72

m=4

n=5

The number is 45.