In IPL, Dhoni scored an average of 120 runs per match in the first 3 m

1.	In IPL, Dhoni scored an average of 120 runs per match in the first 3 matches and an average of 140 runs per match in the last four matches. What is Dhoni’s average runs for the first match and the last two matches if his average runs per match for all the five-match is 122 and the total number of matches is 5?1. 1502. 3003. 1004. 200
Answer» Correct Answer - Option 3 : 100 Given: Dhoni scored an average in the first 3 match = 120 runs per match Dhoni scored an average in the last 4 match = 140 runs per match Average runs per match for all the five matches = 122 Formula Used: Average = (Total run)/Number of innings Calculation: Let the scores in the 5 exams be denoted by M1, M2, M3, M4, and M5 Dhoni’s average score in the first 3 matches = 120 M1 + M2 + M3 = 120 × 3 = 360 ⇒ M1 + M2 + M3 = 360 ----(i) Average in last 4 match = 140 M2 + M3 + M4 + M5 = 140 × 4 ⇒ M2 + M3 + M4 + M5 = 560 ----(ii) Average of all matches = 122 × 5 ⇒ M1 + M2 + M3 + M4 + M5 = 610 ----(iii) Subtracting (ii) form (iii), we get ⇒ M1 = (610 – 560) = 50 Subtracting (i) from (ii), we get M4 + M5 – M1 = (560 – 360) ⇒ M4 + M5 = (200 + 50) = 250 Now, M1 + M4 + M5 = (50 + 250) = 300 Required average = 300 / 3 ⇒ Required average = 100 ∴ Dhoni’s average runs for the first match and the last two matches are 100.

In IPL, Dhoni scored an average of 120 runs per match in the first 3 matches and an average of 140 runs per match in the last four matches. What is Dhoni’s average runs for the first match and the last two matches if his average runs per match for all the five-match is 122 and the total number of matches is 5?1. 1502. 3003. 1004. 200

Answer» Correct Answer - Option 3 : 100

Given:

Dhoni scored an average in the first 3 match = 120 runs per match

Dhoni scored an average in the last 4 match = 140 runs per match

Average runs per match for all the five matches = 122

Formula Used:

Average = (Total run)/Number of innings

Calculation:

Let the scores in the 5 exams be denoted by M1, M2, M3, M4, and M5

Dhoni’s average score in the first 3 matches = 120

M1 + M2 + M3 = 120 × 3 = 360

⇒ M1 + M2 + M3 = 360 ----(i)

Average in last 4 match = 140

M2 + M3 + M4 + M5 = 140 × 4

⇒ M2 + M3 + M4 + M5 = 560 ----(ii)

Average of all matches = 122 × 5

⇒ M1 + M2 + M3 + M4 + M5 = 610 ----(iii)

Subtracting (ii) form (iii), we get

⇒ M1 = (610 – 560) = 50

Subtracting (i) from (ii), we get

M4 + M5 – M1 = (560 – 360)

⇒ M4 + M5 = (200 + 50) = 250

Now, M1 + M4 + M5 = (50 + 250) = 300

Required average = 300 / 3

⇒ Required average = 100

∴ Dhoni’s average runs for the first match and the last two matches are 100.