In a decimal, a bar over a digit indicates that the digit repeats indefinitely. If $a$ and $b$ are integers,

In a decimal, a bar over a digit indicates that the digit repeats indefinitely. If $a$ and $b$ are integers, $\dfrac{a}3-\dfrac{b}4=0.4\overline{16}$ and $a+b=17,$ what is the value of $a?$

(A) 5
(B) 7
(C) 8
(D) 9
(E) 10

Answer: C

Source: Manhattan GMAT

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