Question

Jason’s age is 1/2 the difference of his mother’s age and 6. Jason is 16. How old is Jason’s mother?(1 point)

___years old

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's call Jason's mother's age X.

According to the given information, Jason's age is 1/2 the difference between his mother's age and 6, so we can write this as:

16 = 1/2(X - 6)

To solve for X, we can multiply both sides of the equation by 2 to eliminate the fraction:

32 = X - 6

Next, we can add 6 to both sides of the equation:

32 + 6 = X

Simplifying the left side of the equation:

38 = X

Therefore, Jason's mother is 38 years old.

Answer 2

[AI-generated answer — Explain Bot]

To find Jason's mother's age, we can set up an equation based on the given information.

Let's say Jason's mother's age is represented by M.

According to the given information, Jason's age is 16, which we can represent as J = 16.

It is given that Jason's age is 1/2 the difference of his mother's age and 6. So, we can set up the equation as:

J = 1/2 (M - 6)

Substituting the known values from the question, we have:

16 = 1/2 (M - 6)

Now, to find M, we can solve the equation. First, let's simplify the equation:

16 = 1/2M - 3

Now, we can isolate the variable M by moving the constants to the opposite side of the equation:

16 + 3 = 1/2M

19 = 1/2M

To solve further, we can multiply both sides of the equation by 2 to eliminate the fraction:

2 * 19 = 2 * (1/2M)

38 = M

Therefore, Jason's mother is 38 years old.