Question

the sum of the digits of a two-digit number is 5. on adding 27 to the no. , it's digits are reversed. find the original no.

Answer 1

The original number is 14

Answer 2

Let the two digit no be 10x+y where x = ten's digit no and y = one's digit no
Then acc to ques 
 x + y = 5                                              ........1
10x + y + 27 = 10y + x
9x - 9y = -27                                         ........2
From 1 
     y = 5 - x                                           ........3
Substituting 3 in 2
9x - 9(5-x) = -27
-45 + 18x = -27
18x = 18
    x = 1
Then y = 5 - x
         y = 5 - 1
         y = 4
So the no is 14 (10x + y = 10(1) + 4 = 14)

:) Hope this Helps !!!

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