#i dont understand the question
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Hm... Well, we have:
x = 9m + 2 = 12n + 2
So, try finding the smallest positive integer solution of 9m + 2 = 12n + 2.
Uhh
Basically the children are put into a type of rectangle formation with sides x and y.
In the first one they gave one side as 9 and because of that an extra 2 were left over, if we let columns (the other side of the rectangle) equal to "a" then we get the equation 9a + 2.
Then again 12 rows and "b" columns (if the rows change then the columns change) with again and extra 2 members, 12b + 2.
Notice how they both are equal as they are the same children
9a + 2 = 12b + 2.
Find the smallest value and you get the least amount of children.
You have to write it as an equation.
Number of children = (9 x a) + 2.
They asked you to find the lowest value.
Of the number of children.
So the lowest value of 9a + 2 or 12b + 2.
Find the ratio between a and b.
9a + 2 = 12b + 2.
what do i do with it
Cancel +2.
We can write this as 9a = 12b.
And the a = 12b/9.
And lastly a = 4b/3.
We need to find the smallest values for "a" and "b".
We can see the "4b/3" term can be turned into an integer with b = 3 and with that we get a = 4.
9a + 2 = (9 * 4) + 2 = 38.
12b + 2 = (12 * 3) + 2 = 38.
Hence the smallest number of children is 38.
@lucid fractal
O
couldnt u just find the lowest common multiple between 9 and 12
then add 2
36+2
Hm, true. Though, I don't think that will work if the remainders are different.