Respuesta :
The son is 10 years old now.
Calculating the age of the son :
Let the age of the son be x years old.
Given :
Father's age will be 5x years.
In 10 years the sum of son and father's age is 80 years.
Son's age after 10 years = x+10
Father's age after 10 years= 5x+10
This can be expressed in an equation,
[tex]x + 10 + 5x + 10 = 80[/tex]
[tex]6x + 20 = 80[/tex]
[tex]6x = 80 - 20 = 60[/tex]
[tex]6x = 60[/tex]
[tex]x = 60/6 = 10[/tex]
Therefore the present age of the son is 10 years and the present age of father is 5 x 10 = 50 years.
To learn more about how to calculate the age of people refer to :
https://brainly.com/question/13517515
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Step-by-step explanation:
father = 5X
son =X
age in ten years
(X+10)+(5X+10)=80
expand
5X+X+10+10=80
6X+20=80
6X=80-20
6X=60
X=10
substitute into the equation
(10+10)+(5*10+10)
20+50+10 =80
currently, the son is 10 years
while the father is 5*10=50 years