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### Average of 80 numbers are 42. When 5 more numbers are included, the average of 85 numbers become 45. Find the average of 5 numbers.

- A. 82
- B. 89
- C. 93
- D. 98

**Answer: Option C **

Here is complete explanation of Average of 80 numbers are 42 When 5 more numbers are….

__Solution(By ExamCraze Team)__

Total of 80 numbers

= 80 × 42 = 3360

Now, total of 85 numbers

= 85 × 45 = 3825

Hence, sum of 5 numbers

= 3825 - 3360 = 465

Average of five numbers

= $$frac{{465}}{5}$$ = 93

Alternatively,

Solve while reading method:

Average of 80 number was 42

When 5 more numbers are added average become 45

that means 3 is given to each number to make their average.

45 and 5 numbers also keep 45 as to maintain the entire average.

So, the sum of five numbers

= 240 + 225 = 465

Hence, average of five numbers = 93