show that the difference of a two digit number and the number obtained by reversing digits is a multiple of 9​

1 thought on “show that the difference of a two digit number and the number obtained by reversing digits is a multiple of 9​”

1. Step-by-step explanation:

   Let the two digit no. be XY ie., 10x+y

   and it’s reverse be yx i.e,10y+x

   Their difference=10x+y-(10y+x)

   =10x+y-10y-x

   =9x-9y

   =9(x-y)

   Therefore their difference is a multiple of 9

   H.p

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