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Luke is 5 years younger than 3 times Sydney's age, [tex]\( s \)[/tex]. In this situation, what does [tex]\( 3s \)[/tex] represent?

A. Luke's age
B. Sydney's age
C. Three times Luke's age
D. Three times Sydney's age

Sagot :

GinnyAnsweridn
Let's carefully analyze the information provided in the question:

- Luke's age is defined in relation to Sydney's age, [tex]\( s \)[/tex].
- Specifically, Luke's age is 5 years younger than 3 times Sydney's age.

Now, let's think about what [tex]\( 3s \)[/tex] represents in this context:

1. [tex]\( s \)[/tex] represents Sydney's age.
2. When we multiply Sydney's age [tex]\( s \)[/tex] by 3, we get [tex]\( 3s \)[/tex]. This means "three times Sydney's age."

Therefore, [tex]\( 3s \)[/tex] represents three times Sydney's age, not Luke's age or Sydney's age itself. It's also not three times Luke's age since Luke's age involves subtracting 5 from [tex]\( 3s \)[/tex].

Hence, the correct answer is:

three times Sydney's age
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