Answer:
the marks scored by Naman are 798.
Step-by-step explanation:
To find the marks scored by Naman, we can use the given information and the concept of averages.
We know that the average marks scored by Naman and Dhruv is 1085, and the average marks scored by Manik and Dhruv is 1015. We are also given that Manik scored 658 marks.
Let's denote the marks scored by Naman as "x."
Since the average is calculated by summing up all the values and dividing by the number of values, we can set up the following equations:
(Naman's marks + Dhruv's marks) / 2 = 1085 ...(1)
(Manik's marks + Dhruv's marks) / 2 = 1015 ...(2)
Substituting the given values into equations (1) and (2), we get:
(x + Dhruv's marks) / 2 = 1085 ...(1)
(658 + Dhruv's marks) / 2 = 1015 ...(2)
Now, we can solve these equations simultaneously to find the value of Dhruv's marks and, subsequently, Naman's marks.
From equation (2), we can simplify and isolate Dhruv's marks:
658 + Dhruv's marks = 2 * 1015
Dhruv's marks = 2030 - 658
Dhruv's marks = 1372
Now, substitute Dhruv's marks into equation (1):
(x + 1372) / 2 = 1085
Multiply both sides by 2:
x + 1372 = 2170
Subtract 1372 from both sides:
x = 2170 - 1372
x = 798
Therefore, the marks scored by Naman are 798.
