Question 81

Solve the following:

The volume of water in a tank is twice of that in the other. If we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volumes of water in each tank.

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Solution

Let volume of water in one tank be x L.
Then, volume of the water in another tank=2x L.
According to the question,
Volume of the water in first tank+25=Volume of the water in another tank-25
$\Rightarrow x + 25 = 2 x - 25 \Rightarrow 2 x - x = 25 + 25 ∴ x = 50$
Hence, volume of water in one tank=50L
and volume of the water in another tank= $2 \times 50 = 100 L$

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