In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?a)62b)45c)28d)20Correct answer is option 'D'. Can you explain this answer?

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In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?

a)
62
b)
45
c)
28
d)
20

Correct answer is option 'D'. Can you explain this answer?

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In a cricket match, five batsmen A, B, C, D and E scored an average of...

Total runs scored = (36 x 5) = 180.

Let the runs scored by E be x.

Then, runs scored by D = x + 5; runs scored by A = x + 8;

runs scored by B = x + x + 5 = 2x + 5;

runs scored by C = (107 - B) = 107 - (2x + 5) = 102 - 2x.

So, total runs = (x + 8) + (2x + 5) + (102 - 2x) + (x + 5) + x = 3x + 120.

Therefore 3x + 120 =180

3X = 60

x = 20.

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In a cricket match, five batsmen A, B, C, D and E scored an average of...

**Given Information:**

- Average score of five batsmen A, B, C, D, and E is 36 runs.
- D scored 5 more runs than E.
- E scored 8 fewer runs than A.
- B scored as many runs as D and E combined.
- B and C scored a total of 107 runs.

**Let's assume the runs scored by each player:**

- Let A score x runs.
- Then E will score x - 8 runs (as E scored 8 fewer runs than A).
- D will score (x - 8) + 5 runs (as D scored 5 more runs than E).
- B will score (x - 8) + 5 + (x - 8) runs (as B scored as many runs as D and E combined).
- C will score 107 - (runs scored by B) runs (as B and C scored a total of 107 runs).

**Calculating the average score:**

- The total runs scored by all five batsmen = x + (x - 8) + 5 + (x - 8) + (x - 8) + 5 + 107 - (runs scored by B)
- The total runs scored by all five batsmen = 5x - 14 + 5 + 107 - (runs scored by B)
- The total runs scored by all five batsmen = 5x + 98 - (runs scored by B)
- The average score of all five batsmen = (5x + 98 - (runs scored by B))/5

Since the average score of all five batsmen is given as 36 runs, we can set up the equation:

(5x + 98 - (runs scored by B))/5 = 36

**Simplifying the equation:**

- 5x + 98 - (runs scored by B) = 36 * 5
- 5x + 98 - (runs scored by B) = 180
- 5x - (runs scored by B) = 82

**Substituting the value of runs scored by B:**

- As per the given information, B scored (x - 8) + 5 + (x - 8) runs
- Substituting this value in the equation:
5x - [(x - 8) + 5 + (x - 8)] = 82
5x - (2x - 16) - 10 = 82
5x - 2x + 16 - 10 = 82
3x + 6 = 82
3x = 82 - 6
3x = 76
x = 76/3
x = 25.33

**Calculating the runs scored by E:**

- E scored x - 8 runs
- Substituting the value of x:
E scored 25.33 - 8 = 17.33 runs

Since the runs scored by a player cannot be in decimal points, we round off the value of E's score to the nearest whole number.

Hence, E scored approximately 17 runs.

The correct answer is option 'D' (20 runs), which indicates that there might be an error in the calculations or assumptions made.

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In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?a)62b)45c)28d)20Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?a)62b)45c)28d)20Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?a)62b)45c)28d)20Correct answer is option 'D'. Can you explain this answer?.

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