How old could they be?

Answer of the puzzle How old could they be? is : Age of father is 42 and son is 24 years old.

You can solve such puzzles by forming some mathematical equation.

From the puzzle its very clear that ages of fathers and son are of at least two digits.

Lets assume age of the father is xy so son;s age would be yx (as its reversed)

in the form of equation it would be as follows

xy + yx = 66

that also means

10x + y + 10y + x = 66

11x + 11y = 66

x + y = 6

now to get 6 as sum of two digits, the possible combinations are (1, 5), (2, 4), (3,3) in this way ages of father and sons could be

Father : 51, Son : 15
Father : 42, Son : 24
Father : 33, Son : 33

Obviously the second equation looks more realistic so father age is 42 and age of son is 24