Statement 1: The sum of the runs scored by Kohli and Dhoni is greater than that scored by Yuvraj and Pujara taken together.Statement 2: The sum of the runs scored by Kohli and Yuvraj is the same as scored by Dhoni and Pujara taken together.Statement 3: Moreover Kohli scored half as much the sum of scores of Dhoni and Pujara.Who scored the highest runs ?
Question
Statement 1: The sum of the runs scored by Kohli and Dhoni is greater than that scored by Yuvraj and Pujara taken together.Statement 2: The sum of the runs scored by Kohli and Yuvraj is the same as scored by Dhoni and Pujara taken together.Statement 3: Moreover Kohli scored half as much the sum of scores of Dhoni and Pujara.Who scored the highest runs ?
Solution
To solve this problem, we can use the given statements to form equations and solve them.
Let's denote the runs scored by Kohli, Dhoni, Yuvraj, and Pujara as K, D, Y, and P respectively.
From Statement 1, we have: K + D > Y + P
From Statement 2, we have: K + Y = D + P
From Statement 3, we have: K = 0.5 * (D + P)
Now, we can substitute the value of K from Statement 3 into Statement 2: 0.5 * (D + P) + Y = D + P This simplifies to: Y = 0.5 * (D + P)
Comparing this with Statement 1, we can see that D must be greater than Y and P.
Therefore, Dhoni scored the highest runs.
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