Question

10. A batsman is out for 23 runs, which raises his
batting average for the season from 15 to 16.
How many runs would he have had to have
scored to bring his average up to 18?
Answer:
(Write in numbers)​

Answer 1

Answer:

39 runs.

Step-by-step explanation:

Let 'x' be number of runs scored .

'y' be matches played.

So- x/y= 15 and x= 15y>> equation 1.

To raise his average to 16 . he scored 23 runs.

x+23/y+1 = 16

x+23=16y+16

( x = 15y )

15y+23=16y+16

y=7.

So x= 15y= 105.

Now to raise average to 18.

105+ k/7+1 = 18

105+k= 144

k= 39.

Therefore if the batsman would have made 39 runs, his average would have risen from 15 to 18.

Answer 2

Answer:

He need to make 34 runs.

Step-by-step explanation:

As per the data given in the question,

We have,

Let the number of matches palyed by batsman be $x$

Since the old avg. was 15,

So, total runs = $15x$

After scoring 23. The avg increased to 16.

So,

$15x+23=16(x+1)\\15x+23= 16x+16\\x=7$

So, current total matches are = $x+1 = 7+1 = 8$

So, number of runs he need to make to increase avg to 18

Let the runs he need be $y$

So,

$9\times18=(8\times16)+y\\y=162-128\\y=34$

So, he need to make 34 runs.

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