Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.
Question
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number.
Solution 1
Let's denote the number we're looking for as x.
According to the problem, "when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number." This can be translated into the following equation:
7x - 15 = 2x + 10
To solve for x, we first need to get all terms involving x on one side of the equation and the constants on the other side. We can do this by subtracting 2x from both sides and adding 15 to both sides:
7x - 2x = 10 + 15
This simplifies to:
5x = 25
Finally, we can solve for x by dividing both sides of the equation by 5:
x = 25 / 5
So, x = 5.
Solution 2
Let's denote the number we're looking for as x.
According to the problem, "when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number." This can be translated into the following equation:
7x - 15 = 2x + 10
To solve for x, we first need to get all terms involving x on one side of the equation and the constants on the other side. We can do this by subtracting 2x from both sides and adding 15 to both sides:
7x - 2x = 10 + 15
This simplifies to:
5x = 25
Finally, we can solve for x by dividing both sides of the equation by 5:
x = 25 / 5
So, x = 5. This is the number we're looking for.
Similar Questions
7 less than 2 times a number is 18
Four more than half of certain number is seven less than the number. What is the number?
The sum of the digits of a two digit number is 7. If the digits are reversed,the new number decreased by 2, equals twice the original number. Findthe number.
One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number ?12070402578
Set up an equation and solve to find the unknown in the following cases.a) When I subtracted 11 from twice a number, the result was 15
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.