When 636 is subtracted from a number, it reduces to its two–fifth. Which of the following would be twice that number?
Question
When 636 is subtracted from a number, it reduces to its two–fifth. Which of the following would be twice that number?
Solution
Let's denote the unknown number as .
According to the problem, when 636 is subtracted from , the result is two-fifths of . This can be written as:
To solve for , we first isolate on one side of the equation. Start by eliminating the fraction by multiplying both sides by 5:
Distribute the 5 on the left side:
Next, move all terms involving to one side by subtracting from both sides:
Now, solve for by adding 3180 to both sides:
Finally, divide both sides by 3:
The problem asks for twice that number, so we calculate:
Therefore, the answer is:
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