## Average Methods Example 2

The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average. This is the basic theory of Speed Time and Distance which is applied in question to obtain answers here is Speed Time and Distance Methods of example 2 in different form of examples.

In maths exam papers there are two or three question are given from this chapter. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice.

**Example 1:**

The **average age of 34 students** in a school is **15 years, **after that when **geography teacher’s age** is **added **to student age then the** average age increases by one**, what is the** teacher’s age in years **?

**Answer :**

**Step 1:**T first we find the total student ages with out adding teacher’s age ( 34 x 15 ) = **510 years.**

Now we find out the age of students adding with teachers age that is ( 35 x 16 ) =** 560 years.**

**Step 2:** Teachers age is ( 560 – 510 ) = **50 years.**

**Example 2:**

The** average age of 44 students** in a batch is **18 years**. The **average age of 22 students is 14 years.** Find average age of** remaining 22 students** ?

**Answer :**

**Step 1:** At first we find the age total age of 44 and 22 students is (44 x 18 ) = 792 and ( 22 x 14 ) = **308.**

**Step 2:** Sum of the ages of 22 students is = ( 792 – 308 ) = **484.**

So average age of is ( 484 / 22 ) = **22 years.**

**Example 3:**

The average of a non-zero number and its square is 5 times the number. The number is.

**Answer : **Let the number be x . Then,

x + x^2 / 2 = 5x

x^2 -9x = 0

x( x – 9 ) = 0 or x = 0 or x = 9

**So the number is 9.**

**Example 4:**

The weight of 5 tanks of 57Kgs, 42Kgs, 45Kgs, 63Kgs,74Kgs. Find its average?

**Answer:**

Average = 58 + 42 + 45 + 63 + 74 / 5

= 282 / 5 = 56.4.

**Example 5:**

What is the average of the first 6 prime numbers ?

**Answer :** 2 + 3 + 5 + 7 + 11 + 13 / 6

= 41 / 6 = **6.83.**