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Answer :
Final answer:
To determine how many years ago Pete's grandfather was 6 times as old as Pete, set up an equation and solve for x as per which 7 years ago, Pete's grandfather was 6 times as old as Pete
Explanation:
To solve this problem, we need to set up an equation.
- Let x represent the number of years ago.
- We know that Pete's age x years ago would be 14 - x, and his grandfather's age would be 54 - x.
- We can set up the equation: 6(14 - x) = 54 - x
- Solving this equation, we get x = 7
Therefore, 7 years ago, Pete's grandfather was 6 times as old as Pete.
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Answer:
6 years ago
Step-by-step explanation:
[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]
So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.
