Initial quantity of milk= 3x litres
Initial quantity of water= x litres
According to the question,In
× 4x litres of mixture
Quantity of milk =
× =
litres
Quantity of water =
litres
On adding 24 litres of water,
=
(+24) × 2
⇒
− = 24
⇒
= 24
⇒ x =
= 50
∴ Initial quantity of mixture= 4x
= 4 × 50 = 200 litres
OR
Let initial quantity of mixture= 25 litre
In 24 litres,
Milk = 18 litres
Water = 6 litres
When,3 litres water is added,
Milk : Water = 2 : 1
∴ If 3 litres of water is added total mixture = 25 litre
∴ If 24 litres of water is added total quantity =
= 200 litres