Question

The children from a football club are put into rows in the sports hall.When out in rows of 9 children, there are 2 children left over.When put into 12 children, there are 2 children left over. What is the least number of children in football club.

Answer 1

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.