Question 68552
What is asked in the problem?
How old are they at the present time?
<br>
Given:
1. Tyrone is twice as old as his daughter.
2. In six years, Tyrone's age will be three times what his daughter was six years ago.
<br>
Representation:
Let d = Tyrone's daughter's present age
    t = Tyrone's present age
<br>
Translate the given sentences to mathematical equation.
Tyrone is twice as old as his daughter. ---> t = 2d
In six years, Tyrone's age will be three times what his daughter was six years ago. ---> t + 6 = 3 (d - 6)
<br>
Solve: 
t + 6 = 3 (d - 6)
<br> Substitute 2d to t.
2d + 6 = 3d - 18
d = 24 ---> Tyrone's daughter's age
<br>
t + 6 = 3d - 18
t + 6 = 3(24) - 18
t = 72 - 18 - 6
t = 48 ---> Tyrone's age

<br><br>
Checking :
t = 2d , t = 48 and d = 24
48 = 2(24)
48 = 48 ---> True
<br>
t + 6 = 3d - 18
48 + 6 = 3(24) - 18
54 = 72 -18
54 = 54 ---> True

<br> Therefore Tyrone's present age is 48 and his daughter's present age is 24