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?
Q1. 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?
Answer: 20
Explanation: Setting E = e gives D = e+5, A = e+8, B = 2e+5; with total = 180 and B+C = 107, solving yields e = 20.