SOLUTION: Rahul average goes by 1 after scoring 21. His average goes by 2 more after the next score of 35. what is the total runs scored by rahul including 21 and 35 ?

Question 990633: Rahul average goes by 1 after scoring 21. His average goes by 2 more after the next score of 35. what is the total runs scored by rahul including 21 and 35 ?
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
Let total runs scored before = x
No of innings = y
Avg. = x/y
After scoring 21,
Avg. = (x+21)/(y+1) which should be equal to (x/y) + 1
or,
=>
=>
=> ------------------------(i)
Similarly,

=>
=> -----------------------(ii)
Multiplying (i) by 2, we get,
------------------------(iii)
Subtracting (iii) from (ii)

=> y = 10 (Since y can not be 0)
Putting in (i)
100-200 + x = 0
=> x = 100
So runs scored including 21 and 35 = 100 +21 +35 = 156
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