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# Average Methods Example 2

Average shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you manage your time then you can do well in those exams. Most of us miss that part. Few examples on average shortcuts is given in this page below. We try to provide all types of shortcut tricks on average here. Visitors are requested to carefully read all shortcut examples. You can understand shortcut tricks on Average by these examples.

Before doing anything we recommend you to do a math practice set. Write down twenty math problems related to this topic on a page. Solve first ten math problems according to basic math formula. You also need to keep track of Timing. After finish write down total time taken by you to solve those ten maths. Now go through our page for average shortcut trick. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of Timing. This time you will surely see improvement in your timing. But this is not all you want. You need to practice more to improve your timing more.

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in maths. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and this can be achieved only by using shortcut tricks. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many other people may not do the same. So Average shortcut tricks here for those people. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

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
In class the average age of 12 girls is 19 and that of 16 boys is 12 years. What is the average age of entire class?

1. 12 Years
2. 13 Years
3. 15 Years
4. 17 Years

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How to Solve
Total age of 12 girls is = 12 x 19 = 228
Total age of 16 boys is = 16 x 12 = 192
So, the average age od the entire class is ( Total Age ) / ( Total Number of Students )
=( 228 + 192 ) / ( 12 + 16 )
= 420 / 28
= 15
Rough Workspace

Example #2
The average age of 34 students in a school is 15 years. If the age of geography teacher is added to student’s age then the average age increases by 1. What is the teacher’s age in years?

1. 60 Years
2. 56 Years
3. 48 Years
4. 50 Years

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How to Solve
Step 1:First we find the total student ages without 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.
Rough Workspace

Example #3
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?

1. 22 Years
2. 23 Years
3. 26 Years
4. 18 Years

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How to Solve
Step 1: At first we find the total age of 44 and 22 students is ( 44 x 18 ) = 792 and ( 22 x 14 ) = 308.
Step 2: Sum of the ages of remaining 22 students is = ( 792 – 308 ) = 484.
So, average age of remaining 22 students will be ( 484 / 22 ) = 22 years.
Rough Workspace

Example #4
The average of a non-zero number and it’s square is 5 times the number. The number is.

1. 8
2. 11
3. 9
4. 6

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How to Solve
Let the number be X. Then,
X + X2 / 2 = 5X
X2 – 9X = 0
X( X – 9 ) = 0 or X = 0 or X = 9
So, the number is 9.
Rough Workspace

Example #5
The weight of 5 tanks is 57Kgs, 42Kgs, 45Kgs, 63Kgs and 74Kgs. Find it’s average?

1. 54.4
2. 50.2
3. 56.2
4. 58.6

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How to Solve
Average = 57 + 42 + 45 + 63 + 74 / 5
= 281 / 5 = 56.2.
Rough Workspace

Example #6
What is the average of the first 6 prime numbers?

1. 6.83
2. 6.38
3. 6.72
4. 6.52

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How to Solve
2 + 3 + 5 + 7 + 11 + 13 / 6
= 41 / 6 = 6.83.
Rough Workspace