PLEASE HELP There is a competition at the local movie theater for free movie tickets. You must guess the ages of all four employees given a few clues. The first clue is that all of their ages combined total of 106 years. Kirk is twice ten years less than the manager, Brian is 12 years younger than twice the manager's age and Matt is 6 years more than half the manager's age. What are all four of their ages? (make an equation for each person including the manager and solve.)

Kirk's age is 28 years.

The manager's age is 24 years.

Brian's age is 36 years.

Matt's age is 18 years.

Step-by-step explanation:

Let Kirk's age be = a

Let manager's age be = b

Let Brian's age be = c

Let Matt's age be = d

The first clue is that when added together, their ages total 106 years.

       (1)

Kirk is twice ten years less than the manager’s age.

    (2)

Brian is 12 years younger than twice the manager’s age.

    (3)

Matt is 6 years older than half the manager’s age.

      (4)

=>

=>

=>

=>

=>

=>

b = 24

d = 18

a = 28

c = 36

Lets check:

=>    (checked)

Kirk's age is 28 years.

The manager's age is 24 years.

Brian's age is 36 years.

Matt's age is 18 years.

Kirk's age is 28 years.

The manager's age is 24 years.

Brian's age is 36 years.

Matt's age is 18 years.

Step-by-step explanation: