Charlie, Don and Egan had 180 stamps altogether. Charlie gave 1/3 of his stamps to Don. After that, Don gave 1/4 of his stamps to Egan. The three boys had the same number of stamps in the end. How many stamps did Charlie have at first?
180 all together
all end up with the same (60 each) so C - 1/3 C = 60
C = 90 stamps originally
Let Charlie, Don and Egan have c, d and e number of stamps initially.
At the end, all 3 will have 60 stamps each. So after giving away 1/3 of his stamps, Charlie is left with 2/3c stamps. Similarly, Don is left with 3/4d stamps.
Now. 2/3c=60 => c=90
3/4d=60 => d=80
Thus, e= 180-(c+d)= 10
Verification: 1/3c + 1/4d + e = 60
Ans: 90, 80 and 10