| Average score of Rahul, Manish and Suresh is 63. Kabul's score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average scores of Rahul, Manish and Suresh, what is the sum of Manish and Suresh's scores? |
A) 120
B) 111
C) 117
D) Cannot be determined
E) None of the above
Correct Answer: B
Solution :
| Let Rahul's score be x, Ajay's score be w, |
| Manish's score be y and Suresh's score be z. |
| Then, \[\frac{x+y+z}{3}=63\] |
| \[\Rightarrow \]\[x+y+z=189\] |
| \[x=w-15\] |
| \[x=y+10\] |
| \[w=30+63=93\] |
| \[\Rightarrow \] \[x=78\]\[\Rightarrow \]\[y=68\] |
| \[\Rightarrow \] \[z=189-(x+y)\] |
| \[=189-(78+68)\] |
| \[=189-146=43\] |
| \[\therefore \]Sum of Manish's and Suresh score |
| \[=y+z\] |
| \[=68+43=111\] |
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