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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 score?

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An Intiative by Sri Chaitanya

60 and 120

65 and 130

66 and 132

68 and 136

answer is C.

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Detailed Solution

Concep- Assume Rahul has scored

x

runs. Sachin's total was

2 x

runs. Their 198 runs in all are known. The total of x runs and

2 x

runs is thus 198. We may deduce from the linear equation that Sachin and Rahul each have scores that are two times those of Rahul.
Let the Rahul scored

x

runs
Given that Rahul and Sachin each scored twice, respectively.
Therefore, The runs scored by Sachin is

2 x

Given that Their total runs fell two short of double century.
Therefore,

x + 2 x = 200 − 2

⇒ 3 x = 198

⇒ x = 66

Therefore, the runs scored by Rahul is 66 and the runs scored by Sachin is

2 × 66 = 132

Hence, the correct answer is option 3.

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