Answer:
36 years
Step-by-step explanation:
Let the age of Brandon = x years.
Michael is four times as old is Brandon.
Hence, Age of Michael = 4*x years
But it is given that Michael is also 27 years older than Brandon.
Expressing it in equation format:
[tex]\[4x=x+27\][/tex]
Solving the equation,
[tex]\[4x-x=27\][/tex]
=>[tex]\[3x=27\][/tex]
=>[tex]\[x=\frac{27}{3}\][/tex]
=>[tex]\[x=9\][/tex]
Hence Brandon is 9 years old while Michael is 36 years old.