Question 55

Two numbers are in the ratio 4 : 5. If 2 is subtracted from the first number and 2 is added to the second number, then their ratio becomes 2 : 3. The difference between the two numbers is:

Solution

Let the two numbers are 4x and 5x .

According to Question,

$$\frac{4x-2}{5x+2}=\ \frac{2}{3}$$

12x - 6 = 10x + 4

x = 5

Then,

Number are, $$4\times\ 5=20$$ and $$\ 5\times\ 5=25$$

Required Difference = 25 - 20 = 5

Hence, Option A is correct.

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