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In an exam, Ajith, Sachu, Karna, Saheep and Ramesh scored an average of 39 marks. Saheep scored 7 marks more than Ramesh. Ramesh scored 9 fewer than Ajith. Sachu scored as many as Saheep and Ramesh scored.Sachu and Karna scored 110 marks them. If Ajith scores 32 marks then how many marks did Karna score?
Read Solution (Total 5)
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- 57
If marks of Ajith=u, Sachu=v, Karna=w, Saheep=x and Ramesh=z , then
z+7=x ---(i)
u- 9=z ---(ii)
x+ z=v ---(iii)
v+w=110 ---(iv)
Also given, u=32, So from (ii), z=23 & from (i), x=30, from (iii), v=53, from (iv),w=57 - 10 years agoHelpfull: Yes(7) No(2)
- ajith=32
ramesh=32-9=23
saheep=30 so karan 57 - 9 years agoHelpfull: Yes(4) No(0)
- Average score of them = 39 marks.
Then the total marks of them = 39 x 5 = 195 marks.
Ajith have scored 32 marks.
Ramesh scored 9 fewer than Ajith. Ramesh's mark = 32 - 9 = 23
Saheep scored 7 more than Ramesh = 23 + 7 = 30
Sachu scored as many as Saheep and Ramesh.
i.e., 23 + 30 = 53
Sachu and Karna have scored 110 marks.We know that Sachu had scored 53 marks.
Sachu + Karna = 110
53 + Karna = 110
Karna = 110 - 53 = 57
Hence the score of karna is 57 marks - 8 years agoHelpfull: Yes(2) No(0)
- a=x //ajith marks if x=32
r=x-9 //ramesh marks
sh=r+7=x-2 //saheep marks
sc=sh+r=2x-11 //sachu marks
sc+k=110 //sachu and karan marks =110
then sc=53 then k=110-k
=>k=110-53
=>57
- 9 years agoHelpfull: Yes(0) No(0)
- Let marks of Ajith = a ; Sachu = sc ; Karna = k ; Saheep = sh and Ramesh = r then
sh – r = 7 - - - - (i)
a – r = 9 - - - - (ii)
sc = sh + r - - - - (iii)
sc + k = 110 - - - - (iv)
Also given a = 32
So from (ii) r = 23 and from (i) sh = 30 , from (iii) sc = 53, from (iv) k = 57. - 6 Months agoHelpfull: Yes(0) No(0)
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