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
• B. 150, 50
• C. 138, 59
• D. 59, 138

Answer 1

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