James' father was 30 years old when he was born. His mother's age was 24 when his sister who is 5 years younder to him, was born. What is the difference between the age of James' father and mother?

Options

A. 8
B. 10
C. 6
D. 11

Explanation

To solve the problem, we will break it down step by step.

### Step 1: Determine James' Father's Age
James' father was 30 years old when James was born. Therefore, we can denote James' age as "J".

- **James' Father's Age** = 30 + J

### Step 2: Determine James' Mother's Age
James' mother was 24 years old when James' sister was born. Since James' sister is 5 years younger than James, we can denote James' sister's age as "J - 5".

- **James' Mother's Age** = 24 + (J - 5)

### Step 3: Simplify James' Mother's Age
Now, we simplify the expression for James' mother's age:

- James' Mother's Age = 24 + J - 5 = 19 + J

### Step 4: Find the Difference in Ages
Now that we have both parents' ages in terms of James' age (J), we can find the difference between James' father's age and mother's age.

- Difference = James' Father's Age - James' Mother's Age
- Difference = (30 + J) - (19 + J)

### Step 5: Simplify the Difference
Now, we simplify the difference:

- Difference = 30 + J - 19 - J
- Difference = 30 - 19
- Difference = 11

### Conclusion
The difference between the age of James' father and mother is **11 years**.

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