Question : The average of seven consecutive numbers is 20. The largest of these numbers is:
Option 1: 24
Option 2: 23
Option 3: 22
Option 4: 20
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Correct Answer: 23
Solution :
Let $(x–3),(x–2),(x–1), x, (x+1), (x+2)$ and $(x+3)$ be the 7 consecutive numbers.
The average of an AP with an odd number of terms = middle term.
So, $x$ = 20
Largest number = $x+3 = 20 + 3 = 23$
Hence, the correct answer is 23.
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