This puzzle does not have only one possible answer.
If both ages are written as two-digit numbers, the valid father-and-son pairs are:
Father 51, son 15
Father 42, son 24
Both pairs add up to 66, and the father’s age is the reverse of his son’s age.
Another possible interpretation is father 60 and son 6, treating the son’s age as “06.”
The most commonly intended answer is 51 and 15, but 42 and 24 also satisfy every condition.
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