In an examination the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was?
Question
In an examination the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was?
Solution
To solve this problem, we need to use the formula for average, which is the sum of all values divided by the number of values.
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The average marks obtained by John in English, Maths, Hindi and Drawing were 50. This means the total marks for these four subjects is 50 * 4 = 200.
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His average marks in Maths, Science, Social Studies and Craft were 70. This means the total marks for these four subjects is 70 * 4 = 280.
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However, Maths is common in both sets of subjects, so it has been counted twice in the total.
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The average marks in all seven subjects is 58. This means the total marks for all seven subjects is 58 * 7 = 406.
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To find the score in Maths, we subtract the total marks for all seven subjects from the sum of the total marks for the two sets of subjects, and then divide by the number of times Maths was counted.
So, the score in Maths is (200 + 280 - 406) / 2 = 37.
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