Question 260309: Four years ago, Katie was twice as old as Anne was then. In 6 years, Anne will be the same age that Katie is now. How old is each now?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let k = Katie's age now
Let a = Anne's age now
:
Write an equation for each statement:
:
"Four years ago, Katie was twice as old as Anne was then."
k - 4 = 2(a-4)
k - 4 = 2a - 8
k = 2a - 8 + 4
k = 2a - 4
:
"In 6 years, Anne will be the same age that Katie is now.
a + 6 = k
:
Replace k with (a+6) in the 1st equation
a + 6 = 2a - 4
6 + 4 = 2a - a
10 = a
:
Anne is 10, Kate is 16
:
:
Check solution in the statement:
" Four years ago, Katie was twice as old as Anne was then."
16 - 4 = 2(10 - 4)
12 = 2(6)
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