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Step-by-step explanation:
Any two digit number can be expressed in the form of 10x+y where x is the 10 digit and y is the unit digit.
let 10x+y is the number.
reversed number will be 10y+x.
we add both them up
10x+y+10y+x=11x+11y
we divide the number by 11
(11x+11y)/11
=11(x+y)/11
=x+y
since 11 on both sides will be cut
x and y are whole numbers.because the number is natural number. and no fraction is left.
it will exactly divisible by 11.if we take any two digit number.
I hope this will help you
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