Find the number whose absolute value is 54 more than

Grady Turner

Grady Turner

Answered question

2021-12-07

Find the number whose absolute value is 54 more than the number itself.

Answer & Explanation

Robert Harris

Robert Harris

Beginner2021-12-08Added 23 answers

Step 1 : Analysis
Given :
To determine the number whose absolute is 54 more than the number itself.
Step 2 : Solution
Let the number be x.
According to the question, we get an equation,
|x|=x+54
We get two cases,
Case 1: x=-(x+54)
Solving the case 1 we get,
x=-(x+54)
x=-x-54
x+x=-54
2x=-54
x=542
x=-27
So the solution is x=-27.
Case 2: x=(x+54)
Solving case 2 we get,
x=(x+54)
x-x=54
0=54
Since 054, so no solution in this case.
Therefore the number is -27.

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