Question

8 Question: Average of a batsman after 12 innings is X. He scored 158 runs in his 13 th inning, therefore his average increased by 6 runs. Find the value of X. .​

Answer 1

Answer:

80

Explanation:

Y/12=X

Y+158/13=X+6

Y=12X

12X +158 =13X + 78

X =158-78 = 80

Answer 2

Given:

• The batsman's initial innings = 12

• The score of runs by the batsman in his 13th running = 158
• Increase in runs of the batsman after 13th inning = 6

To Find:

• The value of x.

Solution:

Let "y" be the score of 12 innings and "x" be the average of batsmen after 12 innings.

⇒ x = y/12

⇒ y = 12x → {equation 1}

In the 13th inning, the score obtained is 158 and the average is increased by 6 runs. Therefore the new average is x+6 and the new total is y+158.

We get to form an equation,

⇒ x+6 = (y+158)/13 → {equation 2}

Now substitute the value of y from equation 1 in equation 2.

⇒ x+6 = (12x+158)/13

⇒ 13x+78 = 12x+158  ( multiply the LHS by 13 from the denominator)

⇒ 13x-12x = 158-78  (rearranging liked and unlike terms to one side)

⇒ x = 80

∴ The value of x is 80.