Explanation:

Let’s break this down person by person:

- Arnold was born in 1985. So in 2022, Arnold is 37 years old.

- Barry’s age = last two digits of Arnold’s birth year = 85. So Barry is either 85 or 58. But 85 is not possible because no one is above 75, so Barry is 58.

- Charlie's age = last two digits of Barry's birth year. If Barry is 58, born in 2022-58 = 1964. Last two digits = 6,4. So Charlie is 64 or 46. Both are possible for now, remember this.

- Dove’s age = last two digits of Charlie’s birth year. If Charlie is 64, born in 2022-64 = 1958 (last two digits 5,8), so Dove could be 58 or 85. But again, max age 75; 85 is out. So Dove could be 58. But Barry is already 58. Let's test 46 instead.

- If Charlie is 46, born in 1976. Last two digits 7,6, so Dove could be 67 or 76 (not allowed for 76, too old). So Dove is 67.

- Erwin's age = last two digits of Dove's birth year. Dove, if 67, was born in 2022-67 = 1955 (last two digits 5,5), so Erwin could be 55.

- Gerald's age = sum of digits of Frank's birth year. We don’t know Frank yet, but keep in mind.

- John is 6 years younger than Gerald.

- Henry is 9 years younger than Gerald.

Let's use the next direct clue:

- Age difference between Erwin and Frank is 12 years. If Erwin is 55, Frank could be 43 or 67. But Dove is 67. So Frank is 43.

Now Gerald's age = sum of digits of Frank’s birth year (2022-43 = 1979). 1+9+7+9 = 26. So Gerald is 26.

That means:

- John = 26 - 6 = 20.

- Henry = 17.

Now let’s check the ages:

- Arnold: 37

- Barry: 58

- Charlie: 46

- Dove: 67

- Erwin: 55

- Frank: 43

- Gerald: 26

- John: 20

- Henry: 17

Sorted ages: 17, 20, 26, 37, 43, 46, 55, 58, 67

Youngest = 17 (Henry)

Third oldest = 55 (Erwin)

Difference: 55 - 17 = 38

Here’s the thing:

You got it absolutely right.

Option 4 – 38 – is the correct answer.

Summary in bullets:

- Youngest is 17, third eldest is 55.

- 55 - 17 = 38.

- Option 4 is correct—38 years difference.