Addition of common difference in a series of numbers shortcut tricks

Addition of common difference in a series of numbers shortcut tricks :

Addition of common difference in a series of numbers shortcut tricks are very important thing to know for your exams. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Few examples on addition of common difference in a series of numbers shortcuts is given in this page below. These shortcut tricks cover all sorts of tricks on Addition of common difference in a series of numbers. Visitors please read carefully all shortcut examples. You can understand shortcut tricks on Addition of common difference in a series of numbers 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 the time. Write down the time taken by you to solve those questions. Now read our examples on addition of common difference in a series of numbers shortcut tricks and practice few questions. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. If you need to improve your timing more then you need to practice more.

You all know that math portion is very much important in competitive exams. That doesn’t mean that other sections are not so important. You can get a good score only if you get a good score in math section. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks. But so many people can’t do this. So Addition of common difference in a series of numbers shortcut tricks here for those people. We always try to put all shortcut methods of the given topic. But it possible we miss any. We appreciate if you share that with us. Your little help will help so many needy.

In addition of series of numbers which has a common difference are required to add all numbers which combined in a group and no isues are arise whether it is common difference or how many numbers are need to add in that case we consider as some short of rule to obtain the desire result.
So apart from that you only need some mathematical simple calculation to obtain the answer.

Tricks : we need to add the large number with small number, After that multiply this add result by count of numbers in the series of numbers, at last we have to do that we divide the result by 2.

 

Now let find the addition of following given numbers
 

Example #1 – Addition of Common difference in a Series of Numbers
39 + 49 + 59 + 69 + 79 = ?
The result of the addition is 39 + 49 + 59 + 69 + 79 = 295.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 79 + 39 = 118
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 118 x 5 = 590
  4. At last divide the number by 2,
    i.e, 590 / 2 = 295.

 

 

Example #2 – Addition of Common difference in a Series of Numbers
36 + 44 + 52 + 60 = ?
The result of the addition is 36 + 44 + 52 + 60 = 192.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 60 + 36 = 96
  2. Then Count the total numbers present in the series. In this case it is 4.
  3. Then multiply the Added result with the Number count,
    i.e, 96 x 4 = 384
  4. At last divide the number by 2,
    i.e, 384 / 2 = 192.

 

 

Example #3 – Addition of Common difference in a Series of Numbers
77 + 82 + 87 + 92 + 97 = ?
The result of the addition is 77 + 82 + 87 + 92 + 97 = 435.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 97 + 77 = 174
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 174 x 5 = 870
  4. At last divide the number by 2,
    i.e, 870 / 2 = 435.

 

 

Example #4 – Addition of Common difference in a Series of Numbers
88 + 77 + 66 + 55 + 44 + 33 = ?
The result of the addition is 88 + 77 + 66 + 55 + 44 + 33 = 363.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 88 + 33 = 121
  2. Then Count the total numbers present in the series. In this case it is 6.
  3. Then multiply the Added result with the Number count,
    i.e, 121 x 6 = 726
  4. At last divide the number by 2,
    i.e, 726 / 2 = 363.

 

 

Example #5 – Addition of Common difference in a Series of Numbers
77 + 66 + 55 + 44 + 33 = ?
The result of the addition is 77 + 66 + 55 + 44 + 33 = 275.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 77 + 33 = 110
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 110 x 5 = 550
  4. At last divide the number by 2,
    i.e, 550 / 2 = 275.

 

 

Example #6 – Addition of Common difference in a Series of Numbers
111 + 98 + 85 + 72 + 59 = ?
The result of the addition is 111 + 98 + 85 + 72 + 59 = 425.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 111 + 59 = 170
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 110 x 5 = 850
  4. At last divide the number by 2,
    i.e, 850 / 2 = 425.

 

 

Example #7 – Addition of Common difference in a Series of Numbers
89 + 80 + 71 + 62 = ?
The result of the addition is 89 + 80 + 71 + 62 = 302.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 89 + 62 = 151
  2. Then Count the total numbers present in the series. In this case it is 4.
  3. Then multiply the Added result with the Number count,
    i.e, 151 x 4 = 604
  4. At last divide the number by 2,
    i.e, 604 / 2 = 302.

 

 

Example #8 – Addition of Common difference in a Series of Numbers
22 + 33 + 44 + 55 + 66 = ?
The result of the addition is 22 + 33 + 44 + 55 + 66 = 220.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 66 + 22 = 88
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 88 x 5 = 440
  4. At last divide the number by 2,
    i.e, 440 / 2 = 220.

 

 

Example #9 – Addition of Common difference in a Series of Numbers
49 + 55 + 61 + 67 + 73 = ?
The result of the addition is 49 + 55 + 61 + 67 + 73 = 305.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 73 + 49 = 122
  2. Then Count the total numbers present in the series. In this case it is 5.
  3. Then multiply the Added result with the Number count,
    i.e, 122 x 5 = 610
  4. At last divide the number by 2,
    i.e, 610 / 2 = 305
    Thus 49 + 55 + 61 + 67 + 73 = 305.

 

 

Example #10 – Addition of Common difference in a Series of Numbers
15 + 25 + 35 + 45 + 55 + 65 = ?
The result of the addition is 15 + 25 + 35 + 45 + 55 + 65 = 240.

Shortcut Tricks

  1. Add the large number with small number,
    i.e, 65 + 15 = 80
  2. Then Count the total numbers present in the series. In this case it is 6.
  3. Then multiply the Added result with the Number count,
    i.e, 80 x 6 = 480
  4. At last divide the number by 2,
    i.e, 480 / 2 = 240.

 

 
Few examples of Addition Shortcut Tricks:

 

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10 comments

  1. Seetha says:

    This method does not follow all the numbers
    Ex: 86+12+3+25+90+8 = 234
    If this is solved using the above method one will not find the correct answer.

    Regards,
    Seeth@

    • kavita dwivedi says:

      it is possible for more digits..multiply by no of digits in series instead of 5
      ex 36,44,52,60,68,76(total no of digit is 6)
      1.36+76=112
      2.112*6=672
      3.672/2=336

  2. NItin says:

    It is arithmatic progression.
    S=(n/2)(a+l)
    where S- Sum
    n- number of values in series
    a- first term
    l- last term.
    This is standard 7 formula, if you remember elementary mathematics.

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