Question

8. A batsman makes a score of 87 runs in the 17" match and thus increases his average by 3. Find his
average after 17" match.
a. 36
b. 37
c. 38
d. 40​

Answer 1

Answer:

average after 17th match is 39

Step-by-step explanation:

Let his average for 16 matches be a.

His average after 17 matches = a + 3

Run in 17th match is 87

Now, average after 16 matches = $\frac{\textrm{Sum of runs in total 16 matches}}{16}$

or, a =$\frac{\textrm{Sum of runs in total 16 matches}}{16}$

0r , Total Sum of runs in 16 matches = 16x a = 16a

Also,

average after 17 matches = $\frac{\textrm{Sum of runs in total 17 matches}}{11}$

or, a + 3  =$\frac{\textrm{Sum of runs in total 17 matches}}{17}$

or , a + 3  = $\frac{\textrm{Sum of runs in total 16 matches + 87}}{17}$

or, we get a+ 3 = $\frac{16a + 87}{17}$

17(a+3) = 16 a + 87

or, 17 a + 51 = 16a +87

Further, 17a - 16 a  = 87 - 51

or, a = 36

So, his average after 17 the match is 36+ 3 = 39