Question

1. estaban is 6 years older than his brother raoul. the sum of their ages is 38. how old are the brothers?
2. 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:

8, so $x+(x + 6)=38$.

Step3: Solve the equation

Simplify: $2x+6 = 38$. Subtract 6: $2x=38 - 6=32$. Divide by 2: $x=\frac{32}{2}=16$.

Step4: Find Estaban's age

Estaban's age is $16 + 6=22$.

Step1: Define variables

Let Jamal's points be $x$. Then Fayth's points are $x + 200$.

Step2: Set up equation

Total points: $x+(x + 200)=2250$.

Step3: Solve the equation

Simplify: $2x+200 = 2250$. Subtract 200: $2x=2250 - 200 = 2050$. Divide by 2: $x=\frac{2050}{2}=1025$.

Step4: Find Fayth's points

Fayth's points: $1025+200 = 1225$.

Answer:

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

Problem 5: