Present ages of Deepa and Hyma are in the ratio of 5:6 respectively. After four years, this ratio becomes 6: 7. What is the difference between their present ages?

A 6 yrs

B 4 yrs

C 8 yrs

D 2 yrs

Correct Answer: Option B

Let the present age of Deepa = 5p

Let the present age of Hyma = 6p

After four years their ratio = 6 : 7

=> \(\frac{5\mathrm p\;+\;4}{6\mathrm p\;+\;4}\;=\;\frac67\)

=> 35p + 28 = 36p + 24

=> p = 4

Therefore, the difference between their ages = 24 - 20 = 4 years.