Question

Which two digit numbers when added to 27 get reversed

Answer 1

Let our number is    10x  + y   ,  As x is tens place digit and y is ones .

So, from given condition , we get

10x  + y   + 27  = 10y  + x  

9x  - 9y  =  - 27

x  - y  = - 3

So , here we can have different value of x  andy , As :

1 - 4  = -3

Or

2 - 5 = - 3

Or

3 - 6 = - 3

Or

4 - 7 = - 3

Or

5 - 8 = - 3

Or

6 -  9 = - 3

So, we can have these two digit numbers  , As :

we take x  =  1 and y  4 , So 

14  + 27   =  41

Or

we take x  =  2 and y  5, So 

25  + 27   =  52

Or

we take x  =  3 and y  6 , So 

36  + 27   =  63

Or

we take x  =  4 and y  7 , So 

47  + 27   =  74

Or

we take x  =  5 and y  8 , So 

58  + 27   =  85

Or

we take x  =  6 and y  9 , So 

69  + 27   =  96

So,
we can say two digit numbers  ( 14  , 25  , 36 , 47  , 58 , 69 ) when added to 27 get reversed.

HOPE IT HELPS....