Question

Sachin Tendulkar has a certain average for 11 innings. In the 12th innings, he scores 120 runs and thereby increases his average by 5 runs. His new average is:

a. The same as the previous average
b. 5 runs more than the previous average
c. 10 runs more than the previous average
d. 15 runs more than the previous average

Answer 1

To find the new average, we can use the equation (11x + 120) / 12 = x + 5.

Step-by-step explanation:

To find the new average, we need to understand how the average is calculated. The average is the sum of all the runs scored divided by the number of innings played. Let's say the previous average is 'x'.

So, the sum of runs for the previous innings is '11x'. Adding the runs scored in the 12th innings (120) gives us a new sum of '11x + 120'.

Since the average is increased by 5 runs, the new average is 'x + 5'. Therefore, the equation is (11x + 120) / 12 = x + 5. Solving this equation will give us the new average.