Question

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

Answer 1

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

Answer 2

Answer:

The original number is -14.

Step-by-step explanation:

Given : If you double a number then add 24 you get $\frac{2}{7}$ 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 $\frac{2}{7}$ of the original number.

i.e. $2x+24=\frac{2}{7}x$

$2x-\frac{2}{7}x=-24$

$\frac{14-2}{7}x=-24$

$\frac{12}{7}x=-24$

$x=\frac{-24\times 7}{12}$

$x=-2\times 7$

$x=-14$

Therefore, The original number is -14.