The average of 7 consecutive numbers is 20. The largest of these numbers is:
- A25
- B20
- C21
- D23
Solution & Step-by-step Explanation
Let the 7 consecutive numbers be represented as:
x−3,x−2,x−1,x,x+1,x+2,x+3
The average of these 7 consecutive numbers is simply the middle term, which is x.
Given that the average is 20:
x=20
The largest of these numbers is:
Largest number=x+3
Largest number=20+3=23
x−3,x−2,x−1,x,x+1,x+2,x+3
The average of these 7 consecutive numbers is simply the middle term, which is x.
Given that the average is 20:
x=20
The largest of these numbers is:
Largest number=x+3
Largest number=20+3=23