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Question

Rahul scores 20 more runs than twice of the runs scored by Rohit. Together, their runs fell three runs short of a double century. What are the individual scores of Rahul and Rohit, respectively?

A
130, 70
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B
150, 50
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C
138, 59
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D
59, 138
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Solution

The correct option is C 138, 59
Let the runs scored by Rohit be x.
Given: Rahul scored 20 more than twice as many runs as Rohit.
Therefore, the number of runs scored by Rahul is 20 + 2x.

Given: Their total runs fell three short of a double century.
Therefore, x + 20 + 2x = 200 − 3

3x + 20 = 197
3x = 177
x = 59

Therefore, the number of runs scored by Rohit = 59
Number of runs scored by Rahul = 20 + 2 × 59
= 138 runs

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