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
\(x=4\times y+2\\\\\Rightarrow x=4y+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
and
\(y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\)
Substituting the value of y from equation (ii) in equation (i),we get
\(x\\\\=4y+2\\\\=4\times8+2\\\\=32+2\\\\=34.\)
Thus, the man is 34 years old.
