Directions for questions 1 and 2: Type in your answer in the input box provided below the question.Each of Rohit, Virat and Dhoni scored 5 more runs in the first match against Pakistan than he did in the second match. The ratio of the runs scored by Rohit, Virat and Dhoni in the second match was 5 : 3 : 4 and Dhoni scored 20 runs more in the first match than Virat scored in the second match. Find the difference between the runs scored by Virat and Dhoni in the first match.
Question
Directions for questions 1 and 2: Type in your answer in the input box provided below the question.Each of Rohit, Virat and Dhoni scored 5 more runs in the first match against Pakistan than he did in the second match. The ratio of the runs scored by Rohit, Virat and Dhoni in the second match was 5 : 3 : 4 and Dhoni scored 20 runs more in the first match than Virat scored in the second match. Find the difference between the runs scored by Virat and Dhoni in the first match.
Solution
The problem can be solved in the following steps:
Step 1: Let's denote the number of runs scored by Rohit, Virat, and Dhoni in the second match as 5x, 3x, and 4x respectively.
Step 2: According to the problem, Dhoni scored 20 more runs in the first match than Virat scored in the second match. So, 4x + 5 = 3x + 20. Solving this equation, we get x = 15.
Step 3: So, the runs scored by Rohit, Virat, and Dhoni in the second match are 75 (5x), 45 (3x), and 60 (4x) respectively.
Step 4: In the first match, each of them scored 5 more runs than in the second match. So, the runs scored by Rohit, Virat, and Dhoni in the first match are 80 (75+5), 50 (45+5), and 65 (60+5) respectively.
Step 5: The difference between the runs scored by Virat and Dhoni in the first match is 65 - 50 = 15 runs.
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