A. 6
B. 8
C. 10
D. 14
E. 15

Answer: B

Let us frame the equation:
x+10= 2b
x+y is divisible by 4,
substituting the value of an in terms of y: a=2y-10
3y-10 is divisible by 4.
Working with answer choices (plugging in the choices for b in the above equation)
6, we end up at 8, divisible by 4.
8, 14 are not divisible by 4, hence the answer is 8.

Answer choice: B


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