Respuesta :
Numbers are -14 and -26.
What is absolute value?
The absolute value is defined as a number is considered its distance from 0 denoted by |n| for a number n
any n and -n would have the same absolute value:
| n | = | -n |
Let the number is x added to the number
| 20 + x | = 6
|20 + x| would have an absolute value of 6
20 + x = ± 6
So, 20 + x had a value of either 6 or -6.
Case 1: 20 + x = 6
Isolate x like you normally would in an algebraic equation.
x = 6 - 20
x = -14
Case 2: 20 + x = -6
20 + x = - 6
x = - 6 - 20
x = - 26
Double-check with original equation.
| 20 + (- 14) | = 6
| 20 - 14 | = 6
| 6 | = 6
6 = 6 TRUE
| 20 + (- 26) | = 6
| 20 - 26 | = 6
| - 6 | = 6
6 = 6 TRUE
Hence, numbers are -14 and -26.
Learn more about absolute value here:
https://brainly.com/question/243296
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The question seems incomplete, the correct question would be :
If 20 is added to the number, the absolute value of the result is 6. What is (are) the number(s)?
