Ram and shyam gots 53% and 66% marks respectively in a examination.If the difference of their marks is 65,find the maximum mark in a examination
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Let Mark is obtained by Shyam = x
∴ mark is obtained by Ram = x + 24
Also mark of Ram 65% of the sum of marks obtained by them.
∴ 65 % = Ram's mark/(Ram's mark + Shyam's mark) × 100
⇒65 = (x + 24)/(x + 24 + x) × 100
⇒65 = (x + 24)/(2x + 24) × 100
⇒13(2x + 24) = 20(x + 24)
⇒26x + 312 = 20x + 480
⇒26x - 20x = 480 - 312
⇒6x = 168
⇒x = 28
Hence, mark is obtained by Shyam = x = 28
Make is obtained by Ram = x + 24 = 28 + 24 = 52
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hey what a wonderful this question also came in my exam too
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