Final answer:
By assigning Scott's age as 'S', we determined that Kim's mum is 15 years older than Scott's dad after setting up and simplifying an algebraic equation based on the given relationships.
Step-by-step explanation:
Let's denote Scott's age as S. Therefore, Kim's age is S + 5, since Kim is 5 years older than Scott. Kim's mum's age would be 3 times Kim's age, which translates to 3(S + 5). Similarly, Scott's dad's age is 3 times Scott's age, so that is 3S. To find out how much older Kim's mum is than Scott's dad, we subtract Scott's dad's age from Kim's mum's age:
3(S + 5) - 3S.
When we distribute the 3 to both terms inside the parenthesis and subtract, we get 3S + 15 - 3S. The 3S terms cancel each other out, and we're left with 15. Thus, Kim's mum is 15 years older than Scott's dad.