Question

A number N has three digits. If the digits of N is reversed to make another three digits number
if N > M. (N-M) is divisible by
​

Answer 1

Answer:

9 and 11 for sure....but sometimes also by 6 according to my observation....

but.... the answer is (9 and 11).

Step-by-step explanation:

let the hundreds , tens , and units digits be x, y and z respectively and x>z

∴ N= 100x+10y+z

Hence, M= 100z+10y+x  and clearly N>M as we specified earlier that X>Y

now,   N-M= (100x-x) + (10y-y) + (z-100z) >0  ,i.e. positive since N>M

                 =  99x-99y > 0

                 =  ( 9 )( 11 )( x-z ) > 0

   so, evidently the prime factors are 9 and 11 .