Question : The average of 4 consecutive numbers is 35.5. Find the highest number among these numbers.
Option 1: 37
Option 2: 36
Option 3: 40
Option 4: 39
Correct Answer: 37
Solution :
Given,
The average of 4 consecutive numbers is 35.5.
Let the 4 numbers be $x,x+1,x+2\text{ and }x+3$
⇒ $\frac{x+x+1+x+2+x+3}{4}=35.5$
⇒ $4x + 6 = 142$
⇒ $4x = 136$
⇒ $x = 34$
⇒ The highest number $=x+3 = 34+3=37$
Hence, the correct answer is 37.
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