In English, the smaller unit goes first for the teen numbers:

thirteen 
(three + ten)
3 + 10

fifteen:
(five + ten)
5 + 10

nineteen
(nine + ten)
9 + 10

But then in the 20s-90s it's reversed. The larger unit goes first:

twenty three
20 + 3

fifty nine
50 + 9

eighty five
80 + 5


For Chinese, the larger unit goes first for the teen numbers

十三 (shisan)
(shi + san)
10 + 3

十五 (shiwu)
(shi + wu)
10 + 5

十九 (shijiu)
(shi + jiu)
10 + 9

In the 20s-90s etc the larger unit still goes first:

二十三 (ershisan)
(ershi + san)
20 + 3

五十九 (wushijiu)
(wushi + jiu)
50 + 9

八十五 (bashiwu)
(bashi + wu)
80 + 5