Step-by-step explanation:
[tex]\tt{Let \ the \ candies \ taken \ by \ Fred \ be \ x.}[/tex]
Now, let's Solve!
So, according to Question,
Bill = 2x
Tim = 3x-3
Total Candies = 177.
[tex]\bf{x+2x+3x-3=177}[/tex]
Totalling x,
[tex]\bf{6x-3=177}[/tex]
[tex]\bf{6x=177+3}[/tex]
[tex]\bf{6x = 180}[/tex]
[tex]\boxed{\sf{x = 30}}[/tex]
So, Fred has 30 candies.
Bill's Candies = 2×30 = 60 Candies
Tim's Candies = 3×30-3 = 90-3 = 87 Candies.
Hope it helps :)