This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Assumption: The number "١٤٠" (140) in the question is a typo and should be "١٠" (10) to match one of the provided options. The question is: إذا كان |س + س| = 10، فإن قيمة س تساوي: (If |x + x| = 10, then the value of x is:) Step 1: Simplify the expression inside the absolute value. س + س = 2س The equation becomes: |2س| = 10 Step 2: Solve the absolute value equation. The absolute value of 2س being 10 means that 2س can be either 10 or -10. Case 1: 2س = 10 Case 2: 2س = -10 Step 3: Solve for س in each case. Case 1: س = (10)/(2) س = 5 Case 2: س = (-10)/(2) س = -5 Step 4: Compare the solutions with the given options. The possible values for س are 5 and -5. The given options are: 1: ٢ (2) 2: ٣ (3) 3: ٤ (4) 4: ٥ (5) The value س = 5 matches option 4. The final answer is 5.