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.
J + F = 52 ( 1)
F = 5J - 2 ( 2)
Sub (2) into (1)
J + [ 5J - 2] = 52 simplify
6J - 2 = 52 add 2 to both sides
6J = 54 divide both sides by 6
J = 9 = Jack's age
F = 5(9) - 2 = 43 = Father's age