The age of B is half the sum of the ages of A and C. If B is 2 years younger than A and C is 32 years
old, then the age of B must be
(A) 28
(B) 30
(C) 32
(D) 34
(E) 36
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6 comments:
B
D
B
d
D.
a+c = 2b
a-2 = b (-)
________
c+2= b (c=32)
so b = 32+2 = 34
Let a represent the age of A and let c represent the age of C. If b represents the age of B, then
according to the question b = [a + c]/2
. We are told that B is 2 years younger than A. This generates the
equation a = b + 2. We know that the age of C is 32. Substituting these values into the equation b =
[a + c]/2
yields b =
[(b + 2) + 32]/2
. Solving this equation for b yields b = 34. The answer is (D).
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