What is the weighted averaged of marks obtained by Ashokan?

I. Math, Science and English have weights 5, 4 and 3 respectively.
II. Simply arithmetic mean of math and science is 140, which is twice his average of science and English

Solution

From (ii),

$$\Rightarrow$$ (M + S)/2 = 140

$$\Rightarrow$$ M + S = 280 and

$$\Rightarrow$$ S + E = 140

We cannot find values of his marks obtained from the above two equations and from (i) only weights of the subjects are given.

To find the weighted average we need both weights and values of the subjects. So from (i) and (ii) we cannot solve the question.

Hence, option D is the correct answer.

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What is the weighted averaged of marks obtained by Ashokan? I. Math, Science and English have weights 5, 4 and 3 respectively.II. Simply arithmetic mean of math and science is 140, which is twice his average of science and English