Find a missing result using averages: The average of five results is 46, and the average of the first four results is 45. What is the fifth result?

Introduction / Context:
When a total average and a partial average are known, convert both to totals. The difference between these totals gives the missing entry directly.

Given Data / Assumptions:

• Average of five = 46
• Average of first four = 45

Concept / Approach:
Compute total of all five and total of first four, then subtract to get the fifth value.

Step-by-Step Solution:

Verification / Alternative check:
The five values must sum to 230. If the first four sum to 180, the last must be 50. Averages remain consistent.

Why Other Options Are Wrong:

• 51, 49.5, 49, 52: do not satisfy the given averages when recomputed.

Common Pitfalls:
Arithmetic slips when multiplying averages or subtracting totals. Keep integers aligned.

Final Answer:
50