# If first 6 results average is 49 & last 6 result average is 52

The average of 11 results is 50. If first 6 results average is 49 & last 6 result average is 52, then find the 6^{th}

(a) 49

(b) 56

(c) 50

(d) 312

**Answer: (b) 56**

**Solution:-**

Average of 11 results = 50

so total sum of 11 numbers = 550

Let 6th number is X,

So, according to the given condition

sum of first 5 numbers = 49 x 6 – x = 294 – X

sum of last 5 numbers = 52 x6 – x = 312 – X

so 6th number x = 550 – (294 – X) – (312 – X) = 2 X- 56

so X = 2 X- 56 implies X = 56

Hence, the correct answer is option (b) 56.