Question

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.

Answer 1

b) 9, 43

Explanation:

Answer 2

Age of Jack is 9 years and his father's age is 43 years.

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 =
`(54)/(6)`

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.