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Two alloys of chromium have different percentage of chromium in them. The first one weighs 6 kg and second one weighs 12 kg. One piece each of equal weight was cut off from both the alloys and the first piece was alloyed with the second alloy and the second piece was alloyed with the first one. As a result, the percentage of chromium became the same in the resulting two new alloys. What was the weight of each cut-off piece?