3.2. The mother is 22 years older than the daughter. And when the daughter becomes twice as old as she is now, she will be half as old as the mother. How old is each of them now?

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\text { (4-5 grades) }
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3.2. Let's denote the daughter's age as $x$ years. Then the mother's age will be $(x+22)$ years. In $x$ years, the daughter will be twice as old as she is now, i.e., she will be $2x$ years old, and the mother will be $(2x+22)$ years old. According to the problem, $2 \cdot 2x = 2x + 22$, from which $x=11$. Thus, the daughter is 11 years old, and the mother is 33 years old.