## Clodovando's father and grandfather

If x represents the last two digits of the year in which the father was born, then x + x = 38, because the statement says that the last two digits were their ages at 19.**38**. Solving the equation:

x + x = 38

2x = 38

x = 19

Soon, the father was born in 19**19** and had **19** years in 1938.

If the father was born in 1919, the grandfather could only have been born in the previous century (18XX). Let's consider y as these last two digits. So y + y = 138 (for we are considering the previous century).

y + y = 138

2y = 138

y = 69

The grandfather was born in 18**69** and had **69** 1938. To find the answer to the problem, simply subtract:

69 - 19 = 50

**answer**: When the father was born, the grandfather was 50 years old.

Back to statement