Question
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
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
.
-
The number is subtracted by 10:
-
Then the result is divided by 3:
-
When 7 is added to this result, it becomes 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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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!