Answer:
Watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.
Step-by-step explanation:
Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. This means that:
A = B - 2
and
A = C / 5 => C = 5A
Watermelons A and C together are 3 times heavier than watermelon B. This means that:
A + C = 3*B = 3B
Put C = 5A:
A + 5A = 3B
6A = 3B
=> B = 6/3 A = 2A
=> A = 2A - 2
=> 2A - A = 2
=> A = 2 kg
B = 2 * 2 = 4 kg
C = 5 * 2 = 10 kg
Therefore, watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.