Does exist a natural number, which divided by 18, to give the reminder 11 and divided by another natural number, to give the quotient 27 and reminder6
We'll write the rule of division with reminder:
D=dividend, d-divisor, q-quotient, r-reminder
Let's suppose that our natural number is x.
We notice that we have the common factor 3, which we'll draw out and we'll rewite the expression above:
It's more than clear that nor 3, either paranthesis, are not 11's divisor, so the conclusion is that it doesn't exist a natural number to have the properties enunciated above!