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Shortly speaking, the problem says that one third of the mother's age minus one fourth of the mother's age is 3.
Or, in the symbolic form,
= 3.
To solve it, multiply both sides by 12. You will get
4M - 3M = 3*12, or M = 36.
Answer. Mother is 36 years old. Nathan is 9 years old. His sister is 12 years old.
Solved.