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 between them. If Ajith scores 32 marks then how many marks did Karna score?
57
50
60
55
Explanation:
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.
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.