Question 954263

First, which numbers between {{{9}}} and {{{99}}} have an {{{even}}}{{{ tens}}} digit? 
All the {{{20s}}}, {{{40s}}}, {{{60s}}}, and {{{80s}}}.
Now just look at the {{{20s}}}. How many of those have odd units ({{{ones}}}) digits? 
That would be {{{21}}}, {{{23}}}, {{{25}}},{{{ 27}}}, and {{{29}}}, which makes {{{five}}} numbers. 
It is the same for the {{{40s}}}, {{{60s}}}, and {{{80s}}}, so the final answer is:

 {{{5*4 = 20}}}

there is {{{20}}} integers between {{{9}}} and {{{99}}} that have an even tens digit and an odd units (ones) digit