The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father.

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.

Answer:

b)   9, 43

Step-by-step explanation: