Question

The ages of the three Garcia sisters are consecutive odd integers. The sum of their ages is 129. Find the age of the older sister.

a. 41 years old
b. 43 years old
c. 45 years old
d. 47 years old

Answer 1

The oldest of the three Garcia sisters is 45 years old. This was found by setting up and solving an equation representing their ages as consecutive odd integers that add up to 129.

Step-by-step explanation:

The question involves finding the ages of three sisters with consecutive odd integers whose sum is 129. Let's denote the youngest sister's age as x, which means the other sisters' ages will be x+2 (middle sister) and x+4 (oldest sister) since the ages are consecutive odd integers. The equation to find the sum of their ages will be: x + (x+2) + (x+4) = 129. Solving this equation:

1. x + x + 2 + x + 4 = 129
2. 3x + 6 = 129
3. 3x = 129 - 6
4. 3x = 123
5. x = 123 / 3
6. x = 41

So, the youngest sister is 41 years old. The middle sister is 41 + 2 = 43 years old, and the oldest sister is 41 + 4 = 45 years old.

Therefore, the correct answer is that the oldest sister is 45 years old.