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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
39, 30
41, 32
42, 33
43, 34
Read Solution (Total 5)
-
- If one got x marks , other got x+9 marks.
x+9/ x = 56/44
56x= 44 x + 396
x= 396/ 12= 33
so marks are 42 and 33. - 13 years agoHelpfull: Yes(16) No(3)
- If one gets 56 % then other will get 44 %.
As the difference in marks is of 56-44 = 12% which is 9
So 12 % = 9
100% = x
x = 100*9/12
First student marks = 100 * 9 * 56 / 12 * 100 =>> 42
Second student marks = 100 * 9 * 44 / 12 * 100 =>> 33 - 9 years agoHelpfull: Yes(4) No(0)
- dipin hw can u calculate this using 396 where this is specified...
- 12 years agoHelpfull: Yes(2) No(3)
- Say one student gets x+9 and the other gets x.
Then the statement translates to the following equation:
x+9= 56/100(x+x+9)
This is because the statement is talking about the person who scored 9 marks more, i., "his" (person with 9 marks more) marks was 56% of the sum of their marks.
on solving... x+9=(112x + 504)/100
Cross multiplying... 100x + 900 = 112x + 504
Hence x=33 - 10 years agoHelpfull: Yes(2) No(0)
- Let the mark of one student=x
and the mark of another one=x+9
x+9=(x+x+9)*(56/100)
after solving the eqution x=33
so,ans 42,33 - 5 years agoHelpfull: Yes(0) No(0)
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