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Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?
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Sachin scored twice as many runs as Rahul. Together, their runs fell t...
Understanding the Problem
To solve the problem, we need to establish the relationship between Sachin and Rahul's scores.
Let’s define their scores:
- Let Rahul's runs be represented as "R".
- Since Sachin scored twice as many runs as Rahul, his runs can be represented as "2R".
Calculating the Total Runs
- Together, their combined runs are given by the equation:
R + 2R = 3R
- According to the problem, their total runs are two short of a double century. A double century is 200 runs, so:
3R = 200 - 2
3R = 198
Finding Rahul's Runs
- Now, we can solve for R:
R = 198 / 3
R = 66
Finding Sachin's Runs
- Since Sachin scored twice as many runs as Rahul:
Sachin's runs = 2R = 2 * 66 = 132
Summary of Scores
- Rahul's score: 66 runs
- Sachin's score: 132 runs
Conclusion
- Therefore, Rahul scored 66 runs and Sachin scored 132 runs, making their total runs 198, which is indeed two short of a double century.
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Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?
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