The average of three numbers A, B, and C is 48. The average of A and B is 45. The average of B and C is 49. What is the value of B?
Show answer & explanation
Correct answer: B
Explanation
A + B + C = 48 × 3 = 144
A + B = 45 × 2 = 90
B + C = 49 × 2 = 98
(A + B) + (B + C) = 90 + 98
A + 2B + C = 188
A + B + C = 144
On subtraction:
B = 188 – 144 = 44