For a bowler, average = runs knocked off / number of wickets taken
Suppose, before the last match, number of wickets taken = N
In the last match, number of wickets added (n) = 3
Therefore original average of the bowler = 200 / N
Total runs knocked off in the last match is given by ,
Sa = n x A + ∆A ( N + n)
Or, 52 = 3 x 200/N + (+1) x (N + 3) [ Since change in average ∆A = +1 ]
Or, N = 25 or 24.
Therefore, New average = 200 + 52 / 25 + 3 or 200 + 52 / 24 + 3
Therefore new average of bowler = 9 or 28/3.
To find the square root of numbers in the decimal form are explained in the following steps:
Step I: Make the number of decimal places even by affixing a zero on the extreme right of the decimal part (if required).
Step II: In the integral part, mark the periods as done while finding the square root of a perfect square of some natural number.
Step III: In the decimal part, mark the periods on every pair of digits beginning with the first decimal place.
Step IV: Now, find the square root by long division method.
Step V: Put the decimal point in the square root as soon as the integral part is exhausted.
method of elimination is used to solve two equations in two variables. here x, y
it does not matter whatever sign is there, you can get x from equation in terms of y and put in second equation, such that finally you have the second equation in terms of only y. now solve to get y.
using this y , get x.