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There are six baskets in both hands.
Because apples weigh twice as much as oranges, the sum of apples and oranges can be divisible by 3.

Divide 8 by 3 to get 2,

Divide 9 by 3 to get 0,

16 divided by 3 equals 1,

19 divided by 3 equals 1,

Divide 23 by 3 to get 2,

Divide 27 by 3 to get 0,

The remainder sum is: 2+0+ 1+ 1+2+0 = 6.

6/3=2

Then the oranges given to others may weigh 9 kilograms or 27 kilograms.

If the orange given to someone weighs 9 kilograms,

Then the weight of the apple is (8+16+19+23+27)/3 = 93/3 = 31(kg).

23+8 = 3 1 (kg)

The number of the orange basket given to people is (2).

Apple's numbers are (1) and (5).

If the orange given to someone weighs 27 kilograms,

Then the weight of the apple is (8+9+16+19+23)/3 = 75/3 = 25 (kg).

16+9 = 25 (kg) The number of oranges given to people is (6).

The numbers of these apples are (2) and (3)