Answer
Ryan Howard batted 146 runs.
Josh Hamilton batted 130 runs.
Work Step by Step
Let $x$ be the number of runs Ryan Howard batted.
Let $y$ be the number of runs Josh Hamilton batted.
Josh Hamilton had 16 fewer runs.
$x=y+16$
Together, these two players brought home 276 runs:
$x+y=276$.
$x=y+16$
$x+y=276$.
$x+y=276$
$(y+16)+y=276$
$2y+16=276$
$2y=260$
$y=130$
$x=y+16$
$x=(130)+16$
$x=146$
Ryan Howard batted 146 runs.
Josh Hamilton batted 130 runs.