Question

THE SUM OF DIGITS OF 2-DIGIT NUMBER IS9 IF 27 IS ADDED TO THE NUMBER THE DIGITS ARE REVERSED THE NUMBER IS

Answer 1

Let us assume, x and y are the two digit of the two-digit number

Therefore, the two-digit number = 10x + y and reversed number = 10y + x

Given:

x + y = 9 ---------1

Also given: 

10x + y + 27 = 10y + x

9y - 9x = 27
y - x = 3 ----------2

Adding equation 1 and equatuon2

2y = 12
y = 6

Therefore, x = 9 - y = 9 - 6 = 3

Therefore, the two-digit number = 10x + y = 10 * 3 + 6 = 36