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: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 = xAs 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 = 526x = 52 + 2 6x = 54x = [tex]\frac{54}{6}[/tex]x = 9 yearsTo find his father's age put the value in equation (1) 5(9) - 2 = 43 yearsAge of Jack is 9 years and his father's age is 43 years.