Answer:
The weights of the trucks are 5, 7, 9 and 11 tons respectively.
Step-by-step explanation:
Let the weight of first truck = x ( in tons ).
It is given that the weight of the trucks is increasing by 2 tons after the first truck.
So, we get,
Truck Weight
1 x
2 x+2
3 x+2+2 = x+4
4 x+4+2 = x+6
Since, the total weights of the trucks is 32 tons. We get,
![x+(x+2)+(x+4)+(x+6)=32](https://tex.z-dn.net/?f=x%2B%28x%2B2%29%2B%28x%2B4%29%2B%28x%2B6%29%3D32)
i.e. ![4x+12=32](https://tex.z-dn.net/?f=4x%2B12%3D32)
i.e. ![4x=20](https://tex.z-dn.net/?f=4x%3D20)
i.e. x= 5
So, the weight of the first truck is 5 tons.
Then, we have,
The weight of 2nd truck = 5+2 = 7 tons
The weight of 2nd truck = 5+4 = 9 tons
The weight of 2nd truck = 5+6 = 11 tons
Hence, the weights of the trucks are 5, 7, 9 and 11 tons respectively.