According to this, as "other" is an adjective you must write "two other places", "the two other places". In this ngram you can see that this order is prevalent. There is a very small minority (the other two sides, the other two groups, the other two men) but for these three words this is nonetheless by far the preferred order.
The string an other is vanishingly rare in English. In contrast another is positively pervasive. I think it would be fair to say that the second has eclipsed the first to the point of making the first unacceptable, even though it is a grammatical string. Both an and another are members of the category of determiners, while other, on the other hand, is an adjective. There's no grammatical ...
There's a formula: another = an + other. Think of it as of an article plus the word "other" that have historically merged into one word. Grammar requires some article before "other book"; either "the" or "a." Depending on the context, you get either "You need to buy the other book" (if, for instance, the guy bought only the first book out of the set of two) or "You need to buy an_other book ...
I thought this might have already been asked, but apparently not. Is using the phrase "one another" considered equivalent to the phrase "one and other"? Is one of the two considered right and the...
conjunctions - "One another" or "one and other" - English Language ...
The formal discourse marker used by the OP; "on the one hand ... on the other hand" expresses two contrasting ideas, opinions or facts. In view of this fact, I suggest the following alternatives: