Is there a single word that means "each of which"?

Question

I usually use each of which like as follows:

One big problem is decomposed into a number of subproblems, each of which implies that blah blah blah.

One day, I came across a word in a book that perfectly matched each of which. I memorized the word at that time, but now I forgot :-(
If anyone knows this word, please let me know.
I'm not sure but I remember that it was a single word that composed of relative pronoun and preposition, like whichamongof.

DJClayworth · Accepted Answer

With some very slight changes: each

One big problem is decomposed into a number of subproblems, each  implying...

Or

One big problem is decomposed into a number of subproblems; each  implies...

fev · Answer

There is the relative pronoun whereof (archaic) but it does not include each in its meaning. Whereof means:

of which or what:

He sees hostility, the cause whereof he does not know. (Cambridge)

Your sentence could be re-written as:

One big problem is decomposed into a number of subproblems, whereof each implies that ...

There is also whereamong, but it is even more uncommon than whereof.

Is there a single word that means "each of which"?

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