Answer: The man is 34 years old.
Step-by-step explanation: Given that a man's age is two years more than four times his son's age and his son is 8 years old now.
We are to find the age of the man.
Let x and y represents the age of the man and his son respectively.
Then, according to the given information, we have
[tex]x=4\times y+2\\\\\Rightarrow x=4y+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
[tex]y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Substituting the value of y from equation (ii) in equation (i),we get
[tex]x\\\\=4y+2\\\\=4\times8+2\\\\=32+2\\\\=34.[/tex]
Thus, the man is 34 years old.
