The average of 5 consecutive numbers A, B, C, D and E is 48. What is the…
2022
The average of 5 consecutive numbers A, B, C, D and E is 48. What is the product of A and E?
Answer: B. 2300 — ConceptFor an odd number of consecutive integers, the average equals the middle integer. For five consecutive integers centered at m, the endpoints are m − 2…
- A.
2000
- B.
2300
- C.
2200
- D.
2100
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Concept
For an odd number of consecutive integers, the average equals the middle integer. For five consecutive integers centered at m, the endpoints are m − 2 and m + 2.
Application
The middle number C equals the average, so C = 48.
Therefore A = 48 − 2 = 46 and E = 48 + 2 = 50.
The required product is A × E = 46 × 50 = 2300.
Cross-check
The sequence is 46, 47, 48, 49, 50. Its sum is 240, and 240 ÷ 5 = 48, confirming the given average.
Result: A × E = 2300.