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In 3 years, Jane will be 𝑦 years old. How old was she 4 years ago?A𝑦−4B𝑦−7C𝑦−3D𝑦+1E𝑦−1

Question

In 3 years, Jane will be 𝑦 years old. How old was she 4 years ago?

A: 𝑦−4
B: 𝑦−7
C: 𝑦−3
D: 𝑦+1
E: 𝑦−1

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Solution

1. ### Break Down the Problem

To find Jane's age 4 years ago when we know her age in 3 years (𝑦 years), we need to express her current age and then subtract 4 years.

2. ### Relevant Concepts

Let’s denote:

  • Jane's age in 3 years = 𝑦
  • Jane's current age = 𝑦 - 3
  • Age 4 years ago = Current age - 4

3. ### Analysis and Detail

  1. Calculate Current Age:
    Current age =𝑦3 = 𝑦 - 3
  2. Calculate Age 4 Years Ago:
    Age 4 years ago =(𝑦3)4 = (𝑦 - 3) - 4
    =𝑦34 = 𝑦 - 3 - 4
    =𝑦7 = 𝑦 - 7

4. ### Verify and Summarize

We derived that Jane's age 4 years ago is represented by 𝑦7 𝑦 - 7 . This aligns with option B.

Final Answer

The correct answer is B: 𝑦7 𝑦 - 7 .

This problem has been solved

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