Question
The marks obtained by Meena in English is 40% more than
the marks obtained by her in History, and the average marks scored by Meena in English, History, and Mathematics is 82. Find the marks obtained by Meena in History, if she scored 90 marks in Mathematics.Solution
ATQ,
Total marks scored by Meena in English, History, and Mathematics = 82 × 3 = 246
So, marks scored by Meena in English and History = 246 – 90 = 156
Let the marks obtained by Meena in History be ‘x’.
So, marks obtained by Meena in English = 1.4x
So, x + 1.4x = 156
2.4x = 156
x = 156 / 2.4
x = 65
So, marks obtained by Meena in History = 65 marks.
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