The weight of the three pieces is 280 kg. The first piece is 32 kg heavier than the second, and the second is 14 kg

The weight of the three pieces is 280 kg. The first piece is 32 kg heavier than the second, and the second is 14 kg lighter than the third. Find the mass of each piece of marble.

1. Subtract from the mass of three pieces the difference between the first and the second piece, we get the mass of the second two and the mass of the third piece.
280 – 32 = 248.
2. Now, from the resulting mass, subtract the difference between the third and second pieces, as a result, we will find the mass of the three second pieces:
248 – 14 = 234.
3. If the three second pieces weigh 234 kg, calculate the mass of the second piece:
234/3 = 78 kg.
4. Now we can find the masses of the first and third pieces:
1 piece = 78 + 32 = 110 kg.
3 piece = 78 + 14 = 92 kg.
5. Checking if the masses are found correctly:
110 + 92 + 78 = 202 + 78 = 280, right.
Answer: the masses of pieces 1, 2 and 3 are equal, respectively, 110 kg, 78 kg and 92 kg.