Question

The sum of the digits of a two digit number is 9. On adding 27 to the number, its digits are reversed.
The number is
(a) 36
(b) 45
(c) 54
(d) 72
(Hint: Let the number be 10x + (9 - *). Then, 10x + (9 - x) + 27 = 10(9 - x) + x]​

Answer 1

Step-by-step explanation:

LET NO. BE 10X+Y

X+Y=9

10X+Y+27=10Y+X

9X-9Y=-27

X-Y=-3

X=3 AND Y=6

NO=36

ANSWER IS (a)

Answer 2

Answer:

3*9=27, so 36 is 27 less than 63, it's interchanged digits counterpart. The sum of two numbers is 63.