Average value of A and B is 50000, that of B and C is 60000 and average of A and C is 55000. Find the value of B:

by

(A) 52000
(B) 55000 
(C) 62000
(D) None of these

🧠 Explanation:

  • Given:
    Average of A and B = 50000 ⇒ (A + B)/2 = 50000 ⇒ A + B = 100000
    Average of B and C = 60000 ⇒ (B + C)/2 = 60000 ⇒ B + C = 120000
    Average of A and C = 55000 ⇒ (A + C)/2 = 55000 ⇒ A + C = 110000
  • Now, add all three equations:
    (A + B) + (B + C) + (A + C) = 100000 + 120000 + 110000 = 330000
  • Simplifying left side: 2A + 2B + 2C = 330000 ⇒ A + B + C = 165000
  • Now, subtract A + C = 110000 from A + B + C = 165000
    ⇒ B = 165000 - 110000 = 55000

Correct Answer: (B) 55000