Question

The sum of the digits of a two digit number is 9. If 27 is subtracted from the

number the digits interchange their places. Find the number.




pls answer fast

Answer 1

The number is 63.

Step-by-sep explanation:

Let the 2 digits be x and y where the number is xy.

x + y = 9............................(1)

Also if we subtract 27:

10x+y - 27 = 10y + x

9x - 9y = 27 Divide this through by 9:

x - y = 3 ............................(2)

Adding equations (1) and (2):

2x = 12

x = 6.

Substituting in (1):

6 + y = 9

y = 3.