Question 111

A batsman was having 32 runs per innings as his average after 15th innings. His average increased by 2 runs after 16th inning. Then what was his score in the 16th inning?

Solution

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This can be answered either by using averages concept or alligations concept.

Alligations :$$p=\frac{\left(p1q1+p2q2\right)}{q1+q2}$$  where q1 and q2 are the number of innings in two group's , p1 and p2 are there respective averages(average runs) , p is the overall average.

Here q1=15 , q2=1 , p1=32 , p= 34 (since increased by 2 runs) 

On solving the equation you get p2=64

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