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".