Question

The ratio of water and milk is 4:3 .if 4 litrrs of milk is added it becomes 4:5

Answer 1

Hi,

Here is your answer !
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Given that

Ratio of water and milk is 4:3.

Let the common multiple of ratio be x

Then,

Water quantity = 4x litres

and milk quantity = 3x litres

When 4 litres milk is added
then milk becomes ( 3x + 4 ) litres


According to the question,

4x : (3x + 4) = 4 : 5

4x/(3x + 4) = 4/5

4x × 5 = 4 × (3x + 4)

20x = 12x + 16

20x - 12x = 16

8x = 16

=> x = 2

Therefore,

Water quantity = 4x = 4×2 = 8 litres

Milk quantity = 3x = 3×2 = 6 litres

Answer 2

Ratio of water and milk = 4:3

Let, water = 4x
Milk = 3x

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When 4 litres added yo milk, ATQ,


$\frac{4x}{3x + 4} = \frac{4}{5} \\ \\ 20x = 12 x + 16 \\ \\ 20x - 12x = 16 \\ \\ 8x = 16 \\ \\ x = \frac{16}{8} \\ \\ x = 2$



Then,

Milk = 3x=3(2) = 6 litres
Water = 4x =4(2)=8 liters



I hope this will help you

-by ABHAY