A hostel had provisions for a certain number of days. After 8 days, 1/3 rd of the men desert and it is found that the provisions will now last just as long as before. How long was that ?
Solution: Initially, let there be x men having food for y days.
After 8 days, x men had food for (y-8) days. Also, (x - x/3) men had food for y days.
.'. x(y-8) = 2xy/3
=> y = 24.
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