To determine Brandon's age given that Sam is 27 years old and his age is 6 years greater than 3 times Brandon's age, you can set up an equation based on the relationship described.
Let \( B \) represent Brandon's age. According to the information provided, you can express the relationship as:
\[ 27 = 3B + 6 \]
To solve for \( B \):
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Subtract 6 from both sides: \[ 27 - 6 = 3B \] \[ 21 = 3B \]
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Divide both sides by 3: \[ B = \frac{21}{3} \] \[ B = 7 \]
So, Brandon is 7 years old.
The method used here is setting up an algebraic equation based on the relationship between Sam's age and Brandon's age.