SUM of numbers in a range determined by timeframe (values in a column)?

Here's what I WANT to do:
If day = X in column A, then add up all numbers in column B when A value is X
D (A) # (B)
1 45
1 32
1 17
2 18
2 64
2 35
Day 1 total=94
Day 2 total=117
It seems very simple, but I'm finding this very difficult to pull off without creating a new column for every day, any suggestions?
Thanks

Thanks, Badunit, that was exactly the answer I was looking for. I knew there had to be a simple function in there somewhere, but I couldn't find it.

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