SOLUTION: Please help me for this question Nathan is one quarter of his mother's age and 3 years younger than his sister. If his sister is one third of their mother's age , how old is Natha

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Question 1098951: Please help me for this question
Nathan is one quarter of his mother's age and 3 years younger than his sister. If his sister is one third of their mother's age , how old is Nathan ? ------
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Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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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,

%281%2F3%29%2AM+-+%281%2F4%29%2AM = 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.