(2) If 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3 --> x/2+3=x/2+x/2*1/3 --> we can find x. Sufficient.
Can any one please explain the 2nd statement more clearly. I used real numbers and got the answers but still can't get around this equation and I don't want to miss out on an important concept by not clearly understanding how this equation was formed. Thanks.
Since this is a DS question, you don't need to SOLVE it. You need to know, whether you can find its value. Since this is a quadratic equation of degree 1, the chances of getting two / more values of x are next to nil. Once you get the equation, it should be clear that we can get the value of x, thus this is sufficient.
Still, to give you a clarity, here's my take:
Let the water be X.
When 3L is added, the quantity = 3 + X,
The second question stem says that the water will increase by 1/3, i.e. it would be 4X/3
3+X = 4X/3
X = 9
When 3L is added, the bucket becomes half full.
Thus 9 + 3 = 12 = Half the capacity of bucket
Bucket's capacity = 24L
Hope this helps you...
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