SOLUTION: When the average age of a family comptiseing husband wife and their son was 42 years the son got maeried and a child was born to him just 1 year afer the marriage.when the child t

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Question 935866: When the average age of a family comptiseing husband wife and their son was 42 years the son got maeried and a child was born to him just 1 year afer the marriage.when the child turned to be 5 years then the average age of the family became 36 years .what was the age of the daughter in law at the time of marrige?
Answer by KMST(5328) (Show Source):
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Let's define some variables.
= age of the father/husband at the time of the marriage.
= age of the mother/wife at the time of the marriage.
= age of the son at the time of the marriage.
= age of the daughter-in-law at the time of the marriage.
At the time of the marriage, the average age of a family comprising father/husband, mother/wife and their son was 42, so
<---><---> .
After 1 year the newlyweds had a child,
and 5 years after that, meaning years after the marriage,
the child was 5,
and everyone else was 6 years older.
The old husband/father was ;
the old wife/mother was ;
the married son was , and
the daughter-in-law was .
The average age for that 5-person family was