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Kim is 5 years older than Scott. Kim's mum is 3 times Kim's age. Scott's dad is 3 times Scott's age. How much older is Kim's mum than Scott's dad. Plz help, i need working out too for the answer.

2 Answers

8 votes

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.

User Nmanikiran
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3.2k points
8 votes

Step-by-step explanation:

Kim is 5 years older than Scott.

Kim's mum is 3 times Kim's age.

Scott's dad is 3 times Scott's age.

Let age of Scott = y years

Then Kim's age = (y+5) years

Kim's mum age = years

Scott's Dad age = years

Difference between Kim's mum age and Scott's Dad age = Kim's mum age - Scott's Dad age = (3y+15) - (3y) = 15

User Gnllucena
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3.3k points