Question

In a cricket match kumble took three wickets less than twice the wickets taken by srinath the product of numbers of wickets taken by two is 20 find the number of wickets taken by each

Answer 1

Answer:

The number of wickets taken by Srinath is 4 and the number of wickets taken by Kumble is 5

Step-by-step explanation:

Given : In a cricket match Kumble took three wickets less than twice the wickets taken by Srinath the product of numbers of wickets taken by two is 20

To Find : find the number of wickets taken by each

Solution:

Let the number of wickets taken by Srinath be x

Since we are given that  Kumble took three wickets less than twice the wickets taken by Srinath

So, Kumble's wickets = $2x-3$

Now we are given the product of numbers of wickets taken by two is 20

So, $x(2x-3)=20$

$2x^2-3x-20=0$

$2x^2-8x+5x-20=0$

$2x(x-4)+5(x-4)=0$

$(2x+5)(x-4)=0$

$x=\frac{-5}{2},4$

Since no. of wickets must be a whole number

So, x = 4

So, the number of wickets taken by Srinath is 4

Kumble's wickets = $2x-3 = 2(4)-3=5$

Hence the number of wickets taken by Srinath is 4 and the number of wickets taken by Kumble is 5

Answer 2

Step-by-step explanation:

The number of wickets taken by Srinath is 4 and the number of wickets taken by Kumble is 5

Step-by-step explanation:

Given : In a cricket match Kumble took three wickets less than twice the wickets taken by Srinath the product of numbers of wickets taken by two is 20

To Find : find the number of wickets taken by each

Solution:

Let the number of wickets taken by Srinath be x

Since we are given that Kumble took three wickets less than twice the wickets taken by Srinath

So, Kumble's wickets = 2x-32x−3

Now we are given the product of numbers of wickets taken by two is 20

So, x(2x-3)=20x(2x−3)=20

2x^2-3x-20=02x

2

−3x−20=0

2x^2-8x+5x-20=02x

2

−8x+5x−20=0

2x(x-4)+5(x-4)=02x(x−4)+5(x−4)=0

(2x+5)(x-4)=0(2x+5)(x−4)=0

x=\frac{-5}{2},4x=

2

−5

,4

Since no. of wickets must be a whole number

So, x = 4

So, the number of wickets taken by Srinath is 4

Kumble's wickets = 2x-3 = 2(4)-3=52x−3=2(4)−3=5

Hence the number of wickets taken by Srinath is 4 and the number of wickets taken by Kumble is 5