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Question: 1 / 400

If the combined ages of a dog and its owner are 96 years and the owner is 3 times older than the dog, how old is the owner?

24

42

58

72

To determine the age of the owner, start by defining the variables: let the age of the dog be represented as \(x\). Given that the owner is three times the age of the dog, the owner's age can be expressed as \(3x\).

Together, their combined ages add up to 96 years. Therefore, you can set up the equation:

\[

x + 3x = 96

\]

This simplifies to:

\[

4x = 96

\]

To find \(x\), divide both sides of the equation by 4:

\[

x = 24

\]

Now that you have the dog's age, which is 24 years, you can find the owner's age by substituting \(x\) back into the expression for the owner’s age:

\[

3x = 3 \times 24 = 72

\]

This calculation shows that the owner is 72 years old. This aligns with the information that the owner is significantly older than the dog, confirming that the relationship between their ages is accurately represented.

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