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When a certain number is from 10 and the result is multiplied by 2 the final result is 4. Find the number.

Mathematics

ScanSolve AI Answer

Answer

8

Step-by-step solution

6 steps
  1. Let the certain number be xx.

    According to the problem, when this number is subtracted from 10, the result is 10−x10 - x.

  2. This result is then multiplied by 2, giving 2(10−x)2(10 - x).

  3. The final result is 4.

    So, we set up the equation:

    2(10−x)=42(10 - x) = 4
  4. Distribute the 2 on the left side of the equation

    20−2x=420 - 2x = 4
  5. Rearrange the equation to isolate the term with xx.

    Subtract 4 from both sides and add 2x2x to both sides:

    20−4=2x20 - 4 = 2x 16=2x16 = 2x
  6. Divide both sides by 2 to solve for xx

    162=x\frac{16}{2} = x x=8x = 8

    The number is 8.

    The final answer is 8.

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