Question

I have some gooseberries less than if I split them into 2's none is left . I can also split them into 3' s or 4' s with none left . How many berries do I have ?​

Answer 1

You will have 12 gooseberries.

Let's call the number of gooseberries "x".

Since x can be split into 2's with none left, we have:

x ÷ 2 = whole number

So, x must be an even number.

And, since x can be split into 3's with none left, we have:

x ÷ 3 = whole number

So, x must be a multiple of 3.

And, since x can be split into 4's with none left, we have:

x ÷ 4 = whole number

So, x must be a multiple of 4.

Therefore, the number of gooseberries must be a common multiple of 2, 3, and 4.

The smallest common multiple of 2, 3, and 4 is 12.

So, x = 12 gooseberries.

Therefore, you have 12 gooseberries.

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