Knowee
Questions
Features
Study Tools

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?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote the unknown number as x x .

According to the problem, when 636 is subtracted from x x , the result is two-fifths of x x . This can be written as: x636=25x x - 636 = \frac{2}{5}x

To solve for x x , we first isolate x x on one side of the equation. Start by eliminating the fraction by multiplying both sides by 5: 5(x636)=2x 5(x - 636) = 2x

Distribute the 5 on the left side: 5x3180=2x 5x - 3180 = 2x

Next, move all terms involving x x to one side by subtracting 2x 2x from both sides: 5x2x3180=0 5x - 2x - 3180 = 0 3x3180=0 3x - 3180 = 0

Now, solve for x x by adding 3180 to both sides: 3x=3180 3x = 3180

Finally, divide both sides by 3: x=1060 x = 1060

The problem asks for twice that number, so we calculate: 2×1060=2120 2 \times 1060 = 2120

Therefore, the answer is: 2120 2120

This problem has been solved

Similar Questions

Thrice a number reduced by sixty is thesame as twice the number increased byone hundred.

The total of two numbers is 2676. The bigger number is 5 times as much as the smaller number. What is thrice of the smaller number?

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

The difference of two numbers is 1. The product of the two numbers is 6. What are the two numbers?

The larger of two numbers is seven more than five times the smaller. If their sum is 61, what are the numbers?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.