sam is 27 years old. his age is 6 years greater than 3 times Brandon's age. which method can be used to determine Brandon's age?​.

Answer 1

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 \( B \):

1. Subtract 6 from both sides: \[ 27 - 6 = 3B \] \[ 21 = 3B \]

2. 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.