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Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.

Step-by-step explanation:

Basil, Oscar, and Sue share 43 sweets.

Sue gets the largest share.

Let us divide the 42 sweets by 3

42/3 = 14

It means 3 equal parts of 14 make the sum 4.

i.e. 14+14+14 = 42

Since Basil, Oscar and Sue share 43 sweets, which is 1 plus 42.

So, add that 1 to Sue. i.e. 1+14 = 15

Thus, Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.