SOLUTION: six years ago.Teddy was 5 times as old as her daughter dianne.How old is dianne if her age is half of her fathers age?

Question 250067: six years ago.Teddy was 5 times as old as her daughter dianne.How old is dianne if her age is half of her fathers age?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
six years ago, Teddy was 5 times as old as his daughter dianne.
t - 6 = 5(d - 6)
t - 6 = 5d - 30
t = 5d - 30 + 6
t = 5d - 24
:
How old is dianne if her age is half of her fathers age?
t = 2d
:
Replace t with 2d in the 1st equation
2d = 5d - 24
24 = 5d - 2d
24 = 3d
d =
d = 8 yrs is Dianne's present age
:
That makes her Dad 16 yrs old (not realistic but satisfies the equation)
:
Check in the statement:
"six years ago, Teddy was 5 times as old as his daughter"
16 - 6 = 5(8 - 6)
10 = 5(2); confirms our solutions
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