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 from problem

Let $S$ = Sam's age, $V$ = Victor's age.
We know:
$S = V + 9$
$S + V = 33$

Step2: Substitute S into sum equation

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

Step3: Simplify and solve for V

Combine like terms, isolate $V$:
$2V + 9 = 33$
$2V = 33 - 9$
$2V = 24$
$V = \frac{24}{2} = 12$

Step4: Calculate Sam's age

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

Answer:

$S = 21$, $V = 12$