Question 54

The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference in A and B is:

Solution

The ratio of two numbers A and B is 5 : 8.

Let the two numbers are 5p and 8p respectively.

According to the problem,

$$\frac{5p+5}{8p+5}=\frac{2}{3}$$

15p + 15 = 16p + 10

p = 5

Difference in A and B = 8p - 5p

= 3p

= 3 x 5

= 15

Hence, the correct answer is Option A

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