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Sachin, Dravid and Ganguly played in a Cricket match between
India and England.
? None of them scored more than 99 runs.
? If you add the digits of the runs scored by Sachin to his
own score, you will get the runs scored by Dravid.
? If you reverse the digits of the runs scored by Dravid,
you will get the runs scored by Ganguly.
? The total runs scored by them is 240.
Can you figure out their individual scores?
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Answer Posted / rajesh
we can solve this wid equations
let sachin = xy = 10*x + y
dravid = mn= 10*m + n
ganguly = nm = 10*n +m
nw 10*(x+m+n) + (y+m+n) = 240 ....(1)
since the unit place of the sum is zero
y+m+n must be multiple of 10
even if its 9+9+9 its 27 so it has to 10 or 20 probabilty
of 20 is more
y+m+n=20
substitute in (1)
we get x+m+n=22
therefore
x-y=2
nw the possible combination fr sachins score
is
31, 42, 53, 64, 75, 86, 97
use it 31 the total sum would be very less
approx. around middle value we get
sachin = 75
dravid = 87
ganguly = 78
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