Two boys sat for an examination. One of them got 9 marks more than the other and his marks were 56% of their marks. Find the marks scored by each.
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Step-by-step explanation:
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Step-by-step explanation:
Marks of first student = M (say)
Then, marks of second student = M+9
Given that, the marks of second student (M+9) is 56% of the sum of both the students marks.
Sum = M+ M+9 =2M+9
Therefore,
(Second student marks/ sum) *100= 56%
( (M+9)/(2M+9) ) *100 = 56
Upon solving cross multiplying and solving for M,
We have,
(M+9)=0.56*(2M+9)
=> M+9= 1.12M + 5.04
=> 9- 5.04 = 1.12M - M
=> 3.96 = 0.12M
=> M= 3.96 /0.12
=> M=33; M+9= 42
Marks obtained by first student is 33.
Marks obtained by second student is 42
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