What would be the remainder when the sum of a 2 digits no. And the no. Obtained by reversing its digits is divided by 11?
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Step-by-step explanation:num=10x+y
Rev. num=10y+x
Sum=10x+y+10y+x=11y+11x
When you divide it by 11,quotient is x+y and it divides completely leaving the rem. 0
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Answer:
Let two digits number be 10x+y
Now,sum of the number and number reversing by its digit,
10x+y+10y+x=11(x+y)
which is divisible by 11
hence reminder is zero.
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