The combined mass of two trucks is 29 tonnes. The heavier truck is 1 tonne less than twice the mass

of the smaller truck. Write two equations and solve them to find the mass of each truck.

Mass of the smaller truck is 10 tonnes and that of the heavier truck is 19 tonnes.

Step-by-step explanation:

Step 1: Given, sum of masses of 2 trucks = 29 tonnes. Let the mass of the smaller truck be x. Then the mass of the heavier truck = 2x - 1. Write the equation.

⇒ x + 2x - 1 = 29

⇒ 3x - 30 = 0

Step 2: Solve for x to find the masses.

⇒ 3x = 30

⇒ x = 10 tonnes

and 2x - 1 = 20 - 1 = 19 tonnes