Question : What is the value of $A$ if $2 + 4 \div (A + 6) \times 2 = \frac{16}{7}$?
Option 1: 22
Option 2: 20
Option 3: 23
Option 4: 21
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Correct Answer: 22
Solution : $2 + 4 \div (A + 6) \times 2 = \frac{16}{7}$ ⇒ $2 + 4 \times \frac{1}{(A + 6)}\times2 = \frac{16}{7}$ ⇒ $1 + \frac{4}{(A + 6)} = \frac{8}{7}$ ⇒ $\frac{8}{7}-1= \frac{4}{(A + 6)}$ ⇒ $\frac{1}{7}= \frac{4}{(A + 6)}$ ⇒ $A +6=28$ ⇒ $ A= 22$ Hence, the correct answer is 22.
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