Average score of Rahul, Manish & Suresh is 63. Rahul's score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh, what is the sum of Manish's and Suresh's score?

a)
120

b)
111

c)
117

d)
None of these

Correct answer is option 'B'. Can you explain this answer?

Question

Average score of Rahul, Manish & Suresh is 63. Rahul's score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh, what is the sum of Manish's and Suresh's score?

a)
120
b)
111
c)
117
d)
None of these

Correct answer is option 'B'. Can you explain this answer?

Answer

Let the score of Rahul Manish andSurash be r m s.
now total score of these boys is=3*63=189
so r+m+s=189 (1)
as ajay scored 30 more than tha average score of Rahul'Manish'Surash.
then
score of Ajay =63+30=93
as in guestion Rahuls score is 15 less then Ajay =93-15=78
so r=78
put this value in eq (1)
78+m+s=189
so m+s=189 - 78=111Ans

Answer

Let score of Rahul, Manish, Suresh, Ajay be r, m, s, a respectively
Average score of Rahul, Manish & Suresh is 63
⇒ Total score of Rahul, Manish & Suresh = 3 x 63 = 189
⇒ r + m + s = 189 — (i)
Rahul's score is 15 less than Ajay and 10 more than Manish
r = a - 15 —(2)
r = m + 10 — (3)
Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh

⇒ 3a = r + m + s + 90 ----(4)
Using the value of r + m + s from (i) in (4)
3a = 189 + 90
a = 93
Using the value of a in (2)
r = 93 - 15
r = 78
Using the value of r in (i)
78 + m + 3 = 189
m + s = 111
i.e., sum of Manish's and Suresh's score = 111

Answer

111

Answer

Why 111 is correct answer.

Answer

Therefore, I cannot provide an average score for Rahul and Manish without additional information.

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