To save others the typing,

GraphicsRow[{ 
    Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[Orange, 16]],
    Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[Magenta, 32]]  }]

On my Ubuntu 12.04, Mathematica 10.0.1 gives different styles.

Suggestions:

1. If you try this input in a new Mathematica session, do you get the same misbehavior?

2. Reset Mathematica initialization files to default values by starting Mathematica (in a terminal window) with the -clean option. Example:

   mathematica -clean &

3. Send a copy of the notebook with GraphicsRow input and output, and the output from $Version to support@wolfram.com. Mention this Community discussion, 368982.

Looks like a bug in your version of Mathematica (I am running 10.0.1 on OSX). Here is my output: