Answer:
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
[tex]x-10=\frac{1}{7}(y-10)[/tex] ------> equation A
[tex]x+y=52[/tex] -----> 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
