10n can not be 1600 (the hundreds digit here is 0 instead of required 6) and n can not be 160 (for the same reason)...
it is given that the hundreds digit of 10n is 6, therefore the tens digit of n is 6...
Sorry, I don't understand. The hundreds digit of 1600 (10 times 160) is six -- the thousands digit is 1, the tens digit is 0 and the ones digit is zero. Only after
the decimal we have tens, hundrerd, thousands, etc; before the decimal we have ones, tens, hundreds, thousands, etc.
10n means 10 times n. Where does the question say that n is a two digit number?