A batsman has a certain average of runs for 12 innings. In the 13th innings, he scores 69 runs, thereby decreasing his average by 2 runs. How do I calculate his original average runs? - Find 12 Answers & Solutions

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Question: A batsman has a certain average of runs for 12 innings. In the 13th innings, he scores 69 runs, thereby decreasing his average by 2 runs. How do I calculate his original average runs?

Posted by: Suryamani Jena on: 01 Sep, 2017

+ 6 Answers by Expert Tutors

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Answer

let original avg=x;

then=(12*x+69)/13=x-2;

12*x+69=13*x-26

x=95

Answer by:

Niraj Yadav, Delhi

Answer

let original avarage be x

then (12x+69)/ 13 = x-2

or 12x+69 = 13x-26

or x = 95

Answer by:

Kuntal S, Chennai

Answer

2runs of 13inn=26runs

26+69=95run was original average

Answer by:

Soumya, Howrah

Answer

Let average run of 12 innings = x Total runs in 12 innings = 12x Score of 13th innings = 69 Average run of 13 innings = x -2 Total runs of 12 innings = 13(x - 2) 13(x -2) - 12x = 69 x = 95 Thus, average run after the 13th innings = 95-2 = 93.

Answer by:

Divya Singh, Jamshedpur

Answer

(12x + 69) / 13 = x - 2

Solving for x, we have

x = 95

Answer by:

Anurag Choudhury, Pune

Answer

Lets assume average of a batsmen for 12 innings is x and total 12 innings score be y.That is x=y/12

In 13th innings he scores 69 runs and average reduces by 2, So the new average is x-2 and new total is y+69

x=y/12 or y=12x-------------- (1)

x-2=(y+69)/13 ------- (2)

Substitute y=12x in equation 2

x-2=(12x+69)/13

13(x-2)= (12x+69)

13x-26=12x+69

13x-12x=69+26

x=95

Therefore the original average was 95.

Answer by:

Saikumar P, Bangalore

Answer

Let average after 12 th innings=x We know, average= sum of the observations/total no of observations Implies sum= 12x Now new average after 13 innings=x-2=new sum/new no of innings i.e. x-2=12x+69/13 Solving we get, x=95 Hence original average was 95.

Answer by:

Subharaj Bhowmik, Siliguri

Answer

Let average=x; no of innings=n=12 We know, average= sum of the observations/total no of observations Implies sum= 12x Now new average=x-2=new sum/new no of innings i.e. x-2=12x+69/13 Solving the above equation, we get, x=95 Hence original average was 95.

Answer by:

Ranjan Singh, Bangalore

Answer

X/12=Y (X+69)/13=Y-2 Where Y = average of 12 innings,and X = total run in 12 innings By solving these equations, original average is (Y) = 95

Answer by:

Ashutosh Meena, Varanasi

Answer

Let average=x; no of innings=n=12

We know, average= sum of the observations/total no of observations

Implies sum= 12x

Now new average=x-2=new sum/new no of innings i.e. x-2=12x+69/13

Solving the above equation, we get, x=95

Hence original average was 95.

Answer by:

Gokhale Chinmay, Pune

Answer

Let the original average = X

so, total runs made by him in 12 matches = 12X ----- equation 1

Now, the new average after 13th match = X-2

and runs made by him in 13th match = 69

so, total runs made by him after 13th match= 12X + 69 -------equation 2

Now, (12X+69)/13 = X-2

=> 12X+69 = 13(X-2)

=> 12X+69 = 13X - 26

=> X = 95

Hence original average is 95 runs

Answer by:

Anupma Singh, Gurgaon

Answer

Let total runs be X

Average score of 12 innings be x/12

score in 13th innings is 69

Average of all 13 innings be (X+69)/13

According to question

X/12 -2 = (X+69)/13

Therefore X=516

Hence Original Average till 12 th evening is 516/12 =43

Answer by:

Harshit Mishra, Delhi

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