<PRE><B>Question 250067</B>
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 = {{{24/3}}}
d = 8 yrs is Dianne&#39;s present age
:
That makes her Dad 16 yrs old (not realistic but satisfies the equation)
:
Check in the statement:
&quot;six years ago, Teddy was 5 times as old as his daughter&quot;
16 - 6 = 5(8 - 6)
10 = 5(2); confirms our solutions</PRE>