The sum of three times a number and two times the same number is increased by 1, the result is 16. Find the number.
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the statement:
The sum of three times a number and two times the same number is increased by 1, the result is 16.
Solution:
The given statement can be written as,
(3x + 2x) + 1 = 16
In order to determine the number, we simply need to solve for the value of x. To do so, we add the similar terms inside the parenthesis, and then we transpose 1 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
(3x + 2x) + 1 = 16
5x + 1 = 16
5x = 16 - 1
5x = 15
Divide both sides by 5 in order to cancel out 5x leaving behind x.
5x/5 = 15/5
x = 3
Final answer:
x = 3