## Average Problems Solving Tips and Tricks With Explanation

Tips and tricks to solve average problems with explanation and solved examples which will be very helpful in the competitive exams, aptitude test.

### Average

: Average is defined as the sum of observations by the number of observations.

### Formula

Average = sum of observations
number of observations

### Tips And Tricks To Solve Average

1. Average of first n natural number?
= n+l
2

eg: Average of first 60 natural number?
60+l  = 30.5
2

2. Average of first n odd number?
= n

eg: Average of first 90 odd number?
= 90

3.Average of first n even number?
= n+1

eg: Average of first 40 even number?
= 40+1
= 41

4. Average of five consecutive number is 40.
Find the Average of 1st and 3rd No?
Solution:
38,39,40,41,42
= 38+40
2
= 39

5. Average of five consecutive odd number is 27. Find the smallest number?
Solution:
23,25,27,29,31
∴ 23 is the smallest number.

6. Average of four consecutive odd number is 25. Find the smallest number?
Solution:
21,23,25,27,29
∴ 21 is the smallest number.

7. Average of four consecutive even number is 45. Find the smallest number?
Solution:
42,44,45,46,48
∴ 42 is the smallest number.

8. A is moving from x to y with a speed of 60 km/hr and return with a speed of 50 km/hr. Find the Average speed?
Solution:
Avg. Speed = 2ab
a+b
= 2×60×50
60+50
= 54.54