Hace 10 años la edad de mi hijo era 1\7 de la del padre. actualmente sus edades suman 52 años .¿cual es la edad del hijo?

Son's age is 14 and father's age is 38

Step-by-step explanation:

The question in English is

Ten years ago my son's age was 1\7 of the father's. Now his ages add up to 52. What is the son's age?

Let

x -----> son's age

y ---->  father's age

we know that

------> equation A

-----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (14,38)

see the attached figure

therefore

son's age is 14 and father's age is 38