Answer:
The least number of children in the football club is 38.
Step-by-step explanation:
If children put in rows of 9, left out children = 2
If children put in rows of 12, left out children = 2
We will find least number of children in football club by finding LCM of 9 and 12.
Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...
As we can see here: The LCM of 9 and 12 is 36.
We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.
Therefore, the least number of children in the football club is 38.
