Son: 4/7

Daughter: 1/7

Process:

Because mathematicians only consider two combinations: wife and son, wife and daughter,

And these two combinations are related to the wife, so:

If the wife's share of the estate is A, there are:

The ratio of son inheritance is: 2a.

(When the wife and son are a whole, the wife is 1/3 and the son is 2/3. Wife: son = 1:2)

Daughter's share of inheritance is: (1/2) a.

(When the wife and daughter are a whole, the wife is 2/3 and the daughter is 1/3. Wife: daughter = 1: 1/2)

The whole heritage is 1,

That is, the sum of the inheritance ratio of wife, son and daughter is 1 respectively.

There are:

a+2a+( 1/2)a= 1

The solution is a=2/7.

Therefore:

The wife's share of the estate is a=2/7.

The ratio of son inheritance is: 2a=4/7.

Daughter's share of inheritance is: (1/2)a= 1/7.

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