Question

The average of the runs scored by a cricket eleven is 50 if the runs scored by the captain is excluded, the average score rises by 5. How
many runs did the captain score ?​

Answer 1

Answer:

THE CAPTAIN SCORED 10 RUNS

Step-by-step explanation:

IF YOU ARE SATISFIED WITH THE ANSWER THEN PLEASE MARK THIS AS BRAINLIEST

Answer 2

Given :-

• Average runs scored by 11 players of the team = 50

• If runs by captain is excluded then by how much the average rises = 5

To Find :-

• Runs scored by captain

Solution :-

Total runs scored by team including captain = 50 × 11 = 550 runs

• The team scored 550 runs including captain.

Average runs made by 10 players (i.e. excluding captain) = 50 + 5 = 55

Total runs scored by team excluding captain = 55 × 10 = 550 runs

• The team scored 550 runs excluding captain.

Runs scored by captain = 550 runs - 550 runs = 0 runs

• Captain scored 0 runs.                   -- Answer.

Verification :-

We have,

• Total runs scored by team including captain = 550 runs

• Total runs scored by team excluding captain = 550 runs

• Runs scored by captain = 0 runs

Assume $Average_1$ as Average of runs scored by the cricket 11 including captain and $Average_2$ as Average of runs scored by the cricket 11 excluding captain.

➠ $Average_1$ = $\frac{Sum \ of \ Quantities}{Number \ of \ Quantities}$

⇒ $Average_1 = \frac{550}{11} = 50$

➠ $Average_2 = \frac{550}{11}$

⇒ $Average_2 = \frac{550}{10}$ = $55$

➦ Increase in Average = 55 - 50 = 5

Hence, Verified✔