Question

Ashe is twice as old as Vaan. Balthier is 9 years older than Vaan and 3 years older than Ashe. How old is Balthier?

a. 21
b. 24
c. 27
d. 30

Answer 1

By setting up equations from the given relationships between the characters' ages, we find that Vaan is 6 years old and Balthier, being 9 years older than Vaan, is 15 years old. However, this solution does not match any of the provided options.

Step-by-step explanation:

The question is a problem involving age relationships and requires setting up equations based on given information.

Let's start with what we know:

• Let Vaan's age be V.
• Ashe is twice as old as Vaan, so Ashe's age is 2V.
• Balthier is 9 years older than Vaan and also 3 years older than Ashe. This means that Balthier's age is V + 9, and it is also equal to 2V + 3 since he is 3 years older than Ashe.

Now, we can set up the following equation based on Balthier's age:

V + 9 = 2V + 3.

To find V, we solve the equation:

1. Subtract V from both sides: 9 = V + 3.
2. Subtract 3 from both sides: V = 6.

Now that we know Vaan's age (V) is 6, we can determine Balthier's age, which is V + 9 or 6 + 9.

Hence, Balthier is 15 years old, which is not one of the options provided, so it seems there might be a mistake in the original problem or a typo in the options.