Question

. estaban is 6 years older than his brother raoul. the sum of their ages is 38. how old are the brothers?
. two friends enter a trivia challenge as a team. fayth scored 200 more points than jamal. as a team, they collected a total of 2250 points. how many points did each friend earn?

Explanation:

First Question (Ages of Estaban and Raoul)

Step1: Define variables

Let Raoul's age = $x$, Estaban's age = $x + 6$.

Step2: Set up sum equation

$x + (x + 6) = 38$

Step3: Solve for $x$

$2x + 6 = 38 \implies 2x = 32 \implies x = 16$

Step4: Find Estaban's age

$16 + 6 = 22$

Second Question (Trivia Points)

Step1: Define variables

Let Jamal's points = $y$, Fayth's points = $y + 200$.

Step2: Set up total equation

$y + (y + 200) = 2250$

Step3: Solve for $y$

$2y + 200 = 2250 \implies 2y = 2050 \implies y = 1025$

Step4: Find Fayth's points

$1025 + 200 = 1225$

Answer:

Raoul is 16 years old, Estaban is 22 years old.