Question

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

Answer 1

let us suppose that his avg. score of 11 innings be x.
total run scored =11x.
avg. score of the 12 innings after scoring 120runs in 12th innings is x+5.
total runscored in 12 innings=11x+120.
x+5=11x+120/12
x*12+60=11x+120
12x-11x=120-60
x=60

Answer 2

Answer:

65.

Step-by-step explanation:

Given:- A batsman in his 12th innings makes a score of 120 and increase his average score by 5.

To Find:- Average score of the batsman after 12th innings.

Solution:-

As we know, Average = Sum of observations ÷ Number of observation

Let the total number of runs in the 11th inning be x.

∴ Average till 11th innings = x ÷ 11.

Total number of runs after scoring 120 in 12th inning will be x + 120.

∴ Average number of runs till 12th innings = (x + 120) ÷ 12.

So, we can say that

⇒ (x + 120) ÷ 12 = (x ÷ 11) + 5

⇒ (x + 120) ÷ 12 = (x + 55) ÷ 11

⇒ 11 (x + 120) = 12 (x + 55)

⇒ 11x + 1320 = 12x + 660

⇒ 12x - 11x = 1320 - 660

⇒ x = 660.

Average Score after 12th innings = (x + 120) ÷ 12

                                                       = (660 + 120) ÷ 12

                                                       = 780 ÷ 12

                                                       = 65.

Therefore, his average score after 12th innings = 65.

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