Question

Michael is 3 times as old as Brandon 18 years ago, Michael was 9 times as old as Brandon.

Answer 1

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,

$9(x-18)=3x-18\\\\9x-162=3x-18\\\\9x-3x=-18+162\\\\6x=144\\\\x=\frac{144}{6}\\\\x=24$

Hence, Age of Brandon is 24 years.

Age of Michael is 24×3=72 years.

Answer 2

3b-18=9(b-18)
3b-18=9b-162
6b=144
b=24
3b=72
Brandon is 24, Michael is 72.