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State true or false.

The volume of water in one tank is twice of that in the other. If we draw out 25 liters from the first and add it to the other, the volumes of the water in each tank will be the same. So, the final volume of water in each tank will be 75 liters.

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Detailed Solution

We have to check if the final volume of water in each tank will be 75 liters.
Suppose the volume of water in the first tank is 2

x

and the volume of water in the second tank is

x

.
As per the question:

2 x − 25 = x + 25

Now rearranging the constants and variables:

2 x − x = 25 + 25

x = 50

So, the initial volume of the second tank will be 50.
Thus, the initial volume of the water in the first tank would have been:

2 x = 2 × 50 = 100

And, the final volume of water in each tank:
Tank 1= 100-25
=75 liters
Tank 2= 50+25
=75 liters
Hence, it can be concluded that the given statement is true.
Therefore, option 1 is correct.

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