# Verbal Reasoning - Arithmetic Reasoning - Discussion

### Discussion :: Arithmetic Reasoning - Section 1 (Q.No.45)

45.

In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?

 [A]. 62 [B]. 45 [C]. 28 [D]. 20

Explanation:

Total runs scored = (36 x 5) = 180.

Let the runs scored by E be x.

Then, runs scored by D = x + 5; runs scored by A = x + 8;

runs scored by B = x + x + 5 = 2x + 5;

runs scored by C = (107 - B) = 107 - (2x + 5) = 102 - 2x.

So, total runs = (x + 8) + (2x + 5) + (102 - 2x) + (x + 5) + x = 3x + 120.

Therefore 3x + 120 =180 3X = 60 x = 20.

 Azharuddin said: (Jun 14, 2013) Simply you can do it like this: (E+8)+107+(E+5)+E = 180. 3E+120 = 180. E = 20.

 Wakabala Elly said: (Feb 16, 2017) @Azharuddin. Your solution is so short and clear. I have got it now. Thanks.

 Siyad said: (Jun 15, 2017) @Azharuddin. Well said, Thanks @Azharuddin.

 Debishree said: (Sep 20, 2017) @Azharuddin. Its easy and clear. Thanks.

 Angle said: (Oct 30, 2017) How can I get 180?

 Deep said: (May 11, 2018) How can I get 180? Please explain.

 Kootu Richard said: (Sep 2, 2018) How come 180 here?

 Sunita said: (Sep 12, 2018) How come 180? Explain.

 Shivish said: (Oct 7, 2018) (A+B+C+D+E)/5 = 36. 36*5 = 180.