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24 April, 04:56

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.

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  1. 24 April, 08:15
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    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
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