Two students appeared for a 200 mark examination. One of them secured 54 marks more than the other and his marks were 65% of the sum of their marks. What was the lower score?
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Step-by-step explanation:
Let one of the students secure x marks.
Then, the other student secures (x+9) marks.
From the given condition, we have
(x+9)=56% of (x+x+9) =
100
56
×(2x+9)
⇒100x+900=112x+504
⇒12x=900−504=396
⇒x=
12
396
=33
Therefore, marks obtained by other student x+9=33+9=42.
Marks obtained by both students are 33 and 42.
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