Question

Just before the last match in a season, the total
number of runs scored by Sachin Tendulkar added
up to 2100. In his last match he scored 101 runs. As
a result his average score for the season went up by
one run. Find the total number of matches he played
in that season if he got out in every match.​

Answer 1

Answer:

Thus total No of matched played are 31 or 71

Step-by-step explanation:

let Total no of matches before last match =x

total runs=2100

so avg=2100/x

In last match he score 101 runs

so total runs=2100+101=2201

now avg=2201/(x+1)

as per given

2201/(x+1) = 2100/x +1

2201x=2100(x+1)+x(x+1)

2201x=2100x+2100+x²+x

x²+x+2100x-2201x+2100=0

x²-100x+2100=0

x²-70x-30x+2100=0

x(x-70)-30(x-70)=0

(x-30)(x-70)=0

x=30 or 70

Thus total No of matched played are 31 or 71