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a certain no of bullets were shared by 3 ppl equally.each of
them fired 4 of the bullets and the sum of the remaining
bullets are equal to the initial share each had got.what was
the initial number of bullets?
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Answer Posted / prasun bose
Let the initial number of bullets be 'a'
then by question each got a/3 bullets as share
when 4 bullets fired means each had (a/3)-4
by question when 3 ppl added it comes 3{(a/3)-4}
and again by question this is equal to a/3 initial
share
by solving a/3=3{(a/3)-4}
we have a/3= (3a/3)-12
or, 12= a-(a/3) by shifting sides
or, 12= 2a/3
or, 36= 2a by cross multiplication
or, 18=a
Thus the initial number of bullet was 18
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