How to get highest values from two columns in a table (SQL)

So I have a table that has n rows like this:

.ID.|.Cycle.|.Week.|..Date...|.Type. 

.1..|...1...|..1...|.12-12-12|.a.

.2..|...1...|..2...|.12-12-12|.a. 

.3..|...1...|..3...|.12-12-12|.a.

.4..|...1...|..4...|.12-12-12|.a.

.5..|...2...|..1...|.12-12-12|.a.

.6..|...2...|..2...|.12-12-12|.a.

.7..|...2...|..2...|.12-12-12|.some_value.

So here I'd want to get back cycle 2, week 2 of type "some_value" because cycle 2 is the largest cycle number in the table, and week 2 is the largest week number in cycle 2.

Right now I use query

SELECT cycle=MAX(cycle),week=MAX(week)
FROM table 
WHERE TYPE=some_value

But I have a feeling this isn't right because I don't seem to get correct values. Any help is appreciated.