K: age of Katie
A: age of Anne
Four years ago Katie was twice as old as Anne was then.
(K-4) = (A-4) *2 Equation 1
In 6 years Anne will be the same age that Katie is now
(A+6) = K Equation 2
If we substitute the equation 2 into number 1:
(A+6-4)=(A-4)*2
A+2=2A-8
8+2=A
A=10
K=16
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a heartbeat!!