Final answer:
Mark is two years older than Juan. To find Mark's age, we can use the given information and set up equations to solve for his age. Mark is 5 years old.
Step-by-step explanation:
To find the age of Mark, we need to go step by step and use the given information. Let's assign variables to represent their ages:
Mark's age = M
Juan's age = J
Jerman's age = Jm
Coral's age = C
According to the information given, we can write the following equations:
1. M = J + 2 (Mark is two years older than Juan)
2. Jm = 2M (Jerman is twice as old as Mark)
3. C = 2Jm (Coral is twice as old as Jerman)
4. M + J + Jm + C = 38 (The sum of their ages is 38)
Substituting equations 1, 2, and 3 into equation 4, we can solve for M:
M + (M - 2) + 2(M) + 2(2M) = 38
M + M - 2 + 2M + 4M = 38
8M - 2 = 38
8M = 40
M = 5
Therefore, Mark is 5 years old. (option a) 7 is incorrect.