A batsman made 102 runs in 21st inning and his average increased by 2 runs. find total runs scored by him in first 20 matches.
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Solution:-
given by:-
》total rans = y made in 20 innings
let 20 matches average = y run
》21st inning made run= 102
》and average increased 2
now
》 x/20 = y
》x = 20y........(1)
acourding to quetion:-
》(x+102)/21 = y+2
》x+102 = 21y + 42
》x-21y = 42-102
》x -21y= -60..........(2)
put x = 20y in equation (2)
》20y-21y = -60
》-y= -60
》y= 60
put y's value in eq(1)
》x = 20×60
》(x= 1200) ans
》total runs in 20matches is 1200 .
given by:-
》total rans = y made in 20 innings
let 20 matches average = y run
》21st inning made run= 102
》and average increased 2
now
》 x/20 = y
》x = 20y........(1)
acourding to quetion:-
》(x+102)/21 = y+2
》x+102 = 21y + 42
》x-21y = 42-102
》x -21y= -60..........(2)
put x = 20y in equation (2)
》20y-21y = -60
》-y= -60
》y= 60
put y's value in eq(1)
》x = 20×60
》(x= 1200) ans
》total runs in 20matches is 1200 .
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