Respuesta :
We are told that the children from a football club are put into rows in the sports hall. When put into rows of 9 children there are 2 children left over. When put into rows of 12 children there are 2 children left over.
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,...
We can see that least common multiple 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.
[tex]9\cdot4+2=36+2=38[/tex]
[tex]12\cdot3+2=36+2=38[/tex]
[tex]\text{Least number of children in football club}=36+2=38[/tex]
Therefore, the least number of children in the football club is 38.
The least number of children in this football club is 38.
What is LCM?
It is defined as the common number of two integers which is the lowest number that is a multiple of the two or more numbers. The full name of LCM is the least common multiple.
We have rows of 9 children.
When put into rows of 9 children number of missing children = 2
In rows of 12 children.
When put into rows of 12 children number of missing children = 2
We can say the number of children = LCM of 9 and 12 +2
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63...
Multiple of 12 = 12, 24, 36, 48, 60...
We can see the least common multiple is 36
Number of children = 36+2 ⇒38
Thus, the least number of children in this football club is 38.
Learn more about the LCM here:
https://brainly.com/question/20739723
