Correct option is D
Given
Ages in ascending order = x, 25, 2x + 8
Total age of youngest and eldest = 2 × Middle sibling's age
Formula Used
Youngest + Eldest = 2 × Middle Sibling
Solution
The ages in ascending order are x (youngest), 25 (middle), and 2x + 8 (eldest).
Given that the sum of the ages of the youngest and the eldest is double the age of the middle sibling:
x + (2x + 8) = 2 × 25
3x + 8 = 50
3x = 42
x = 14
The age of the eldest = 2x + 8
= 2 × 14 + 8
= 28 + 8 = 36 years
Final Answer
So the correct answer is (d)