Respuesta :
Answer:
Age of Jack is 9 years and his father's age is 43 years.
Step-by-step explanation:
The sum of Jack and his father's ages is 52.
Let the age of Jack = x
As per given statement "Jack's father's age is 2 less than 5 times Jack's age.
His father's age = 5x-2 ------(1)
So the equation will be
x + (5x-2) = 52 -----(2)
6x - 2 = 52
6x = 52 + 2
6x = 54
x = [tex]\frac{54}{6}[/tex]
x = 9 years
To find his father's age put the value in equation (1)
5(9) - 2 = 43 years
Age of Jack is 9 years and his father's age is 43 years.