Question

If you double a number then add 24 you get 2/7 of the original number. What is the original number?

Answer 1

The original number is -14.

Explanation:

Given : If you double a number then add 24 you get
`(2)/(7)` of the original number.

To find : What is the original number?

Solution :

Let the number be 'x'

According to question,

If you double a number then add 24 you get
`(2)/(7)` of the original number.

i.e.
`2x+24=(2)/(7)x`

`2x-(2)/(7)x=-24`

`(14-2)/(7)x=-24`

`(12)/(7)x=-24`

`x=(-24* 7)/(12)`

`x=-2* 7`

`x=-14`

Therefore, The original number is -14.

Answer 2

2x − (2/7) x= −24
12 / 7 x=−24
x= −24×7/12
x=−14