Question

In the first two matches of a three-match cricket series, Dhoni and Virat scored an average of 30 runs and 40 runs respectively.
After the third match, their average scores in the series were equal.
Which of the following could be the runs scored by them in the third match?
A
Dhoni - 40, Virat - 30
B
Dhoni - 35, Virat - 35
С
Dhoni - 20, Virat - 15
D
Dhoni - 20, Virat - O​

Answer 1

Answer:

b is the answer

Step-by-step explanation:

plz mark me as brainleast answer

Answer 2

Answer:

In the third match, Dhoni scored 20 runs and Virat scored 0 runs.

Step-by-step explanation:

Given the average score of two matches

Of Dhoni = 30

Of Virat = 40

We know that Average runs = $\frac{Total Runs}{Total Matches}$

Let Dhoni score 'a' runs in match 1, 'b' runs in match 2 and 'c' in match 3.

Therefore, substituting the values in the formula, we get,

30 = $\frac{a+b}{2}$

=> a + b = 60

Let Virat score 'x' runs in match 1, 'y' runs in match 2 and 'z' in match 3.

Therefore, substituting the values in the formula, we get,

40 = $\frac{x+y}{2}$

=> x + y = 80

To calculate the average runs of all three matches, we again substitute the values in the formula

Average runs of Dhoni = $\frac{a + b+ c}{3}$

                                      =  $\frac{60+ c}{3}$

Average runs of Virat = $\frac{x+y+z}{3}$

                                    =  $\frac{80+z}{3}$

Given that their average scores are equal

=>  $\frac{60+ c}{3}$ =  $\frac{80+z}{3}$

=> 60 + c = 80 + z

=> c - z = 20

that means that the difference of their scores in third match is of 20 runs.

We will check form the options that satisfy the above condition

(A) |40 - 30| = 10

(B) |35 - 35| = 0

(C) |20 - 15| = 5

(D) |20 - 0| = 20

Therefore, option D satisfies the equation.

=> In the third match, Dhoni scored 20 runs and Virat scored 0 runs.