Question
In a tank, milk and water are mixed in the ratio 5:2.
After removing 35 litres of this mixture, 6 litres of water are added. If the resulting mixture has milk twice the water, determine the initial quantity of water.Solution
ATQ, Let the quantity of milk initially = 5x litres The quantity of water initially = 2x litres Milk in 35 litres taken out = (35/7) × 5 = 25 litres Water in 35 litres taken out = (35/7) × 2 = 10 litres After removal and adding 6 litres of water: Milk = 5x – 25 Water = 2x – 10 + 6 = 2x – 4 Given: milk is double water, 5x – 25 = 2(2x – 4) 5x – 25 = 4x – 8 x = 17 Initial water = 2 × 17 = 34 litres
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