shouldnt this be
x/2 + 3 = 1/3 ????
How can x/2 + 3 (both are positive quantity) be equal to 1/3. even if x/2 is negligible, How can x/2 +3 be less than 3 ? RHS and LHS in your equation are not equal and logically can never be equal.
(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
let the original quantity of water be X. it is given that when 3 litres are added to half capacity of bucket the amount of water increases by 1/3 times the half capacity of bucket (ie. x/2) i know that just 1/3 can be confusing but sometimes you will have to get things by logic that whether it is speaking about % increase (times increase) or absolute increase.
so the equation will be,
x/2 +3 = x/2 + 1/3(x/2)
from this you can find the value of x and thus maximum capacity of bucket, but you dont need to solve this equation. Ds questions asks weather a question can be answered or not and not the value of answer.