If you double a number and then add 24 you get 2/7 of the original number. If you let x represent the original number it can be represented by the equation 2x + 24 = 2/7x. What is the original number?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
We have
2x + 24 = 2/7x
Where, x = original number
Subtracting both sides by 2/7x
2x - 2/7x + 24 = 2/7x - 2/7x
(14x - 2x)/7 + 24 = 0
Transposing 24 to other side, we ger
12x/7 = - 24
x = -24 × 7/12
x = -2 × 7
x = - 14
Hence, the original number is -14.