If 20 is added to the number, the absolute value of the result is 6.

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17-03-2019
Mathematics

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If 20 is added to the number, the absolute value of the result is 6.

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Mehak111 Mehak111 · Answer 1 · 2019-03-17T19:33:44+01:00

Mehak111 Mehak111

17-03-2019

Number is number is -14 or -26

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-07-24T11:39:09+02:00

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)?