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The difference between the ages of Abigail and her son is 16 years. If Abigail is 32 years old, what is the age of the son.

Mathematics

ScanSolve AI Answer

Answer

16 years\text{16 years}

Step-by-step solution

4 steps

Let's re-evaluate question 5, taking into account the handwritten corrections on the image.

The corrected question reads: "5. The difference between the ages of Abigail and her son is 16 years. If Abigail is 32 years old, what is the age of the son."

  1. Define variables for the ages.

    Let AA be Abigail's age and SS be her son's age.

  2. Formulate an equation based on the age difference.

    The difference between Abigail's age and her son's age is 16 years. Since a mother is typically older than her son, we can write:

    A−S=16A - S = 16
  3. Substitute Abigail's given age into the equation.

    The problem states that Abigail is 32 years old, so A=32A = 32.
    Substitute this value into the equation:

    32−S=1632 - S = 16
  4. Solve for the son's age, SS.

    To find SS, we can rearrange the equation:

    S=32−16S = 32 - 16 S=16S = 16

    The age of the son is 16 years\text{16 years}.

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