SOLUTION: I am a Grandmother trying to help my grandson with his homework. I haven't taken Algebra in over 45 years. Please help me. This is a work problem from a print out so I don't kno

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Question 185256: I am a Grandmother trying to help my grandson with his homework. I haven't taken Algebra in over 45 years. Please help me. This is a work problem from a print out so I don't know the text book ISBN.
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?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Let t = Ty's present age
Let d = daughter's present age
:
Write an equation for each statement:
:
"Tyrone is twice as old as his daughter."
t = 2d
:
"In six years Tyrone's age will be three times what his daughter's age was six years ago."
t + 6 = 3(d - 6)
t + 6 = 3d - 18
t = 3d - 18 - 6
t = 3d - 24
:
From the 1st statement, replace t with 2d in the above equation
2d = 3d - 24
+24 = 3d - 2d
d = 24 yrs is daughter's present age
then, obviously, 48 yrs is Ty's age
;
:
Check solutions in the statement:
"In six years Tyrone's age will be three times what his daughter's age was six years ago."
48 + 6 = 3(24 - 6)
54 = 3(18)