Respuesta :
3b-18=9(b-18)
3b-18=9b-162
6b=144
b=24
3b=72
Brandon is 24, Michael is 72.
3b-18=9b-162
6b=144
b=24
3b=72
Brandon is 24, Michael is 72.
Answer: Age of Brandon is 24 years.
Age of Michael is 72 years.
Step-by-step explanation:
Since we have given that
Michael is 3 times as old as Brandon .
Let the age of Brandon be 'x'.
Let the age of Michael be 3x
According to question, 18 years ago, Michael was 9 times as old as Brandon.
18 years ago,
Age of Brandon was x-18
Age of Michael was 3x-18
So, our equation becomes,
[tex]9(x-18)=3x-18\\\\9x-162=3x-18\\\\9x-3x=-18+162\\\\6x=144\\\\x=\frac{144}{6}\\\\x=24[/tex]
Hence, Age of Brandon is 24 years.
Age of Michael is 24×3=72 years.