Answer :
Answer:
Age of a younger person (wife) is [tex]36[/tex] years.
Step-by-step explanation:
The sum of a man and his wife is [tex]81[/tex] years.
Also, ratio of their ages is [tex]5:4[/tex]
Let ages of a man and his wife be [tex]5x[/tex] and [tex]4x[/tex].
Therefore,
[tex]5x+4x=81\\9x=81\\x=9[/tex]
Age of man [tex]=5x=5(9)=45[/tex] years
Age of his wife [tex]=4x=4(9)=36[/tex] years.
So,
age of a younger person (wife) is [tex]36[/tex] years.