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26 December, 06:51

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.

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  1. 26 December, 10:41
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    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.
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