Directions: Read the following information carefully and answer the question given below.

Seven individuals — K, L, M, N, O, P, and Q — were born in seven different years: 1954, 1962, 1970, 1980, 1991, 1998, and 2007, on the same month and day. (Consider 2024 as the base year for age calculations). The combined age of P and Q is equal to the age of O. P's age is an even number divisible by 13. K is immediately older than P. L's age is a multiple of 9. M is older than N.

What is the difference between the age of P and O?

The correct answer is 44 years.

Step 1: Calculate the age of each individual in the base year 2024.
Taking 2024 as the base year, we compute the age corresponding to each birth year:
- 1954:
$2024-1954=70$
years old
- 1962:
$2024-1962=62$
years old
- 1970:
$2024-1970=54$
years old
- 1980:
$2024-1980=44$
years old
- 1991:
$2024-1991=33$
years old
- 1998:
$2024-1998=26$
years old
- 2007:
$2024-2007=17$
years old
The set of ages in descending order is 70, 62, 54, 44, 33, 26, and 17.

Step 2: Determine P's age and K's age.
P's age is an even number divisible by 13. Among the calculated ages, 26 is the only even number divisible by 13 (
$26÷13=2$
). Thus, P's age is 26 years (born in 1998).
K is immediately older than P. The age immediately greater than 26 in our set is 33. Thus, K's age is 33 years (born in 1991).

Step 3: Determine O's age and Q's age.
The combined age of P and Q equals the age of O:

$\text{Age of P}+\text{Age of Q}=\text{Age of O}$

$26+\text{Age of Q}=\text{Age of O}$

$\text{Age of O}-\text{Age of Q}=26$
From the remaining available ages {70, 62, 54, 44, 17}, the only pair with a difference of 26 is 70 and 44:

$70-44=26$
Therefore, O's age is 70 years (born in 1954) and Q's age is 44 years (born in 1980).

Step 4: Determine L's, M's, and N's ages.
L's age is a multiple of 9. From the remaining ages {62, 54, 17}, 54 is divisible by 9 (
$54÷9=6$
). Thus, L's age is 54 years (born in 1970).
M is older than N. Between the remaining ages 62 and 17, M's age is 62 years (born in 1962) and N's age is 17 years (born in 2007).

Step 5: Calculate the difference between the age of P and O.
Difference = Age of O - Age of P

$\text{Difference}=70-26=44$
The difference between the age of P and O is 44 years.