A Jar contains 90 litres of the mixture of milk and water in the ratio of 5: 4 and 45 litres of the mixture is taken out

A Jar contains 90 litres of the mixture of milk and water in the ratio of 5: 4 and 45 litres of the mixture is taken out. Then added x liters of the water in the remaining mixture, the ratio of the milk and water becomes 2: 3. Find the value of x?

A.18

B.17.5

C.16

D.15.5

E.14.5

Sol:

Milk = 5/9 * 90 = 50 litres

Water = 4/9 * 36 = 40 litres

Milk in 45 litres = 5/9 * 45 = 25 litres

Water in 18 litres = 4/9 * 45 = 20 litres

(50 – 25)/(40 – 20 + x) = 2/3

40 + 2x = 75

2x = 35

x = 17.5 litres

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