Michael is 3 times as old as Brandon. 18 years ago, Michael’s was 9 times as old as Brandon. How old is Brandon now?

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,

Distribute the 9:

Add 162 to both sides:

Subtract –3x from both sides:

Simplify the terms on both sides:

Divide by 6 on both sides to isolate the variable x:

To finally get:

Hence,

Age of Brandon is 24 years

Age of Michael is 24 × 3 = 72 years

Hope this helps! :)

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step-by-step explanation: