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

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by Gmat_mission » Sun Dec 26, 2021 2:29 pm

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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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