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The present ages of Ann and Julie are 12 years and 8 years, respectively.
Let x, y be the current ages of Ann and Julie, whose features are synthetized in the following linear equations:
Ann is 4 years older than Julie
x = y + 4
x - y = 4 (1)
4 years ago, Ann was twice as old as Julie
x - 4 = 2 · (y - 4)
x - 4 = 2 · y - 8
x - 2 · y = - 4 (2)
Now we proceed to determine the ages of Ann and Julie by solving the system of linear equations: (x, y) = (12, 8)
The present ages of Ann and Julie are 12 years and 8 years, respectively.
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