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12 and 42
Step-by-step explanation:
Let Mary's age be x and her daughter's age be y
Since 7 years ago Mary was 7 times older than her daughter
x - 7 = 7(y - 7) --> x - 7 = 7y - 49
3 years from now Mary will be 3 times older than her daughter
x + 3 = 3(y + 3) --> x + 3 = 3y + 9
Subtracting both equations from one another we get
-10 = 4y - 58
4y = 48
y = 12
x = 42
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