Answer:
His son will be 20 within 15 years
Step-by-step explanation:
The question in English is
Jorge is 5 times his son's age, within 15 years, he will only be twice his son's age. How many years will his son be within 15 years?
Let
x ----> Jorge's age now
y ----> His son's age now
we know that
[tex]x=5y[/tex] -----> equation A
[tex](x+15)=2(y+15)[/tex] -----> equation B
Solve the system by substitution
Substitute equation A in equation B
[tex](5y+15)=2(y+15)[/tex]
Solve for y
[tex](5y+15)=2y+30[/tex]
[tex]5y-2y=30-15[/tex]
[tex]3y=15[/tex]
[tex]y=5[/tex]
Find the value of x
[tex]x=5y[/tex] ----> [tex]x=5(5)=25[/tex]
so
Jorge's age now is 25 years
His son's age now is 5 years
therefore
His son will be 20 within 15 years
