SOLUTION: Tyrone is twice as old as his daughter. in six yeawrs tyrone's age will be three time what his daughter's age was six years ago. how old are they at present?

Question 140753: Tyrone is twice as old as his daughter. in six yeawrs tyrone's age will be three time what his daughter's age was six years ago. how old are they at present?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Tyrone is twice as old as his daughter. in six years Tyrone's age will be three times what his daughter's age was six years ago. how old are they at present?
:
The equation for the statements,"Tyrone is twice as old as his daughter."
t = 2d
:
and the equation for the statement:
"in six years Tyrone's age will be three time what his daughter's age was six years ago."
t + 6 = 3(d-6)
Simplify
t + 6 = 3d - 18
t = 3d - 18 - 6
t = 3d - 24
:
how old are they at present?
:
We know t = 2d so we have:
2d = 3d - 24
2d - 3d = -24
-d = -24
d = 24 is daughter's age
Then
2(24) = 48 is T's age
:
:
Check solutions in the statement:
in six years Tyrone's age will be three time what his daughter's age was six years ago."
48 + 6 = 3(24 - 6)
54 = 3(18); confirms our solution
:
That wasn't so hard, was it?
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