A number is multiplied by 11 and 11 is added to the product.if the resulting number is divided by 13,the smallest original number is
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Let the required number be x.
Then, $$\frac{11x + 11}{13}$$ = a whole number.
So, (11x + 11) must be divisible by 13
By hit and trial, we get x = 12
Hence, the smallest original number is 12
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