Question
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A number is subtracted by 10 and then divided by 3 .
when 7 is added to this result is becomes 4 .
what was the initial number

Ask by Hodges Lee. in Australia
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The initial number is 1.

Solution

Let the initial number be .
  1. The number is subtracted by 10:
  2. Then the result is divided by 3:
  3. When 7 is added to this result, it becomes 4:
  4. Solving the equation:
    Multiply both sides by 3:
    Add 10 to both sides:
The initial number is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

Let’s break it down! If we let the initial number be , then the equation based on the problem would look like this:
First, subtract 7 from both sides:
Next, multiply both sides by 3:
Finally, add 10 to both sides to find :
So, the initial number is 1!

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