Question

sam (s) is 9 years older than victor (v). the sum of their ages is 33. find the age of each person.
s = ? v =

Explanation:

Step1: Define variables for ages

Let $V$ = Victor's age, $S = V + 9$ (Sam's age, since he is 9 years older)

Step2: Set up sum equation

$S + V = 33$
Substitute $S$: $(V + 9) + V = 33$

Step3: Simplify and solve for $V$

Combine like terms: $2V + 9 = 33$
Subtract 9: $2V = 33 - 9 = 24$
Divide by 2: $V = \frac{24}{2} = 12$

Step4: Calculate Sam's age

$S = V + 9 = 12 + 9 = 21$

Answer:

$S = 21$, $V = 12$