Final answer:
Alan's age is 31.
Step-by-step explanation:
Let's say Alan's age is x. According to the information given, Simon is 7 years older than Alan, so Simon's age would be (x + 7).
The sum of their ages is 69, so we can set up an equation: x + (x + 7) = 69.
Combining like terms, we get 2x + 7 = 69. Subtracting 7 from both sides gives us 2x = 62. Dividing both sides by 2, we find x = 31.
Therefore, Alan's age is 31.