Answer
$160$
Work Step by Step
$a_{m}-a_{n}=\left( m-n\right) d\Rightarrow a_{4}-a_{2}=2d\Rightarrow 13-9=2d\Rightarrow d=2$
$a_{2}=a_{1}+01\Rightarrow 9=a_{1}+2\Rightarrow a_{1}=7\Rightarrow S_{10}=\dfrac {2\times a_{1}+\left( 10-1\right) d}{2}\times 10=\dfrac {2\times 7+9\times 2}{2}\times 10=160$