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?
+37146 180 all together
all end up with the same (60 each) so C - 1/3 C = 60
C = 90 stamps originally
+197 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
+176 Charlie had 90 stamps, gave 30 (1/3) to Don, leaving 60 stamps.
Don had 50 stamps, received 30 from Charlie, making 80, then gave 20 (1/4) to Egan, leaving Don with 60 stamps.
Egan had 40 stamps, received 20 from Don, giving Egan also a total of 60 stamps.
