Answer
a=18
Work Step by Step
$b=2a-16; b=a+2$ (problem given)
$2a-16=a+2$ (equate both values of b to each other)
$2a-a-16=2$ (subtract a from both sides of the equation)
$2a-a=16+2$ (add 16 to both sides of the equation)
$a=18 $ (simplify)