a diamond weighing 2.5 carats was cut into two pieces. The two pieces were put on a balance scale, one on each side. An additional weight of 0.9 carats on one side was required to maintain balance. Find the weight, in carats, of the larger piece

Answer 1

Let weight of smaller piece be x.
Larger = x + 0.9
ATQ, x + x + 0.9 = 2.5
2x = 1.6
x = 0.8
Larger = 0.9 + 0.8 = 1.7 carats