Solve: The difference of four times a number and five is the same as three more than twice a number. Find the number.
Question
Solve:
The difference of four times a number and five is the same as three more than twice a number.
Find the number.
Solution
Let's denote the unknown number as x.
According to the problem, we can write down the following equation:
4x - 5 = 2x + 3
To solve for x, we first need to get rid of the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
4x - 2x - 5 = 2x - 2x + 3
This simplifies to:
2x - 5 = 3
Next, we need to isolate x by getting rid of the -5 on the left side. We can do this by adding 5 to both sides:
2x - 5 + 5 = 3 + 5
This simplifies to:
2x = 8
Finally, we divide both sides by 2 to solve for x:
2x / 2 = 8 / 2
So, x = 4.
Therefore, the number is 4.
Similar Questions
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 quotient of two numbers is 5. Their difference is 4. What are the two numbers?
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?
Five times the difference of thrice anumber and seventy-four is at leasteighty-two.
If the common difference of an AP is 5, then find the value of below mentioned expression.
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.