Correct Answer - Option 1 : 11, 42

Given Information:

Priya and her father differ in their ages by 31 years.

After 8 years, if the sum of their ages will be 69 years.

Let the age of Priya be x years.

Then, the age of her father = (x+ 31) years

Now using given informations,

(x + 8) + (x + 31 + 8) = 69

2x + 47 = 69

2x = 69 - 47

2x = 22

x = 11

Thus the** age of Priya = 11 years.**

The **age of her father = 11 + 31 = 42 years. **

Hence, the correct answer is **"11, 42".**