# Average Problems Solving Tips and Tricks With Explanation

### 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

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