A group of boys were to choose between playing hockey and badminton. The number of boys choosing hockey was three times that of those choosing badminton. Asking 12 boys who chose hockey to play badminton would make the number of players for each game equal. Find the number who chose badminton originally.
Let no. of boys for badminton = x
then no. of boys for hockey = 3x
According to the statement,
3x - 12 = x + 12 (12 leave hockey, 12 join badminton)
2x = 24
x = 12
Hence, there were 12 boys originally choosing badminton.