Question

Five years ago, Tim's mom was three times Tim's age today. Now their combined age is 45. How old is Tim's mom today?
Bot
Let's say Tim's current age is x.

Five years ago, his mom was three times Tim's age at that time, which means:

Mom's age 5 years ago = 3(x-5)

Today, Tim's age is x, and his mom's age is y.

So, the sum of their ages is 45:

x + y = 45

We can use this equation to solve for one of the variables. Let's rearrange it to solve for y:

y = 45 - x

Now we can substitute this into the first equation we had:

Mom's age 5 years ago = 3(x-5)

This is also equivalent to:

Mom's current age - 5 = 3x - 15

Mom's current age = 3x - 10

We can substitute this into the equation we just found for y:

3x - 10 + x = 45

4x - 10 = 45

4x = 55

x = 13.75

So, Tim is currently 13.75 years old.

To find his mom's age, we can use either of the equations we found earlier:

Mom's age 5 years ago = 3(x-5)

Mom's age 5 years ago = 3(13.75 - 5) = 26.25

So, his mom was 26.25 years old 5 years ago, which means she is currently 26.25 + 5 = 31.25 years old today.
Tammy
Ohhh my !!! What a mess made by the bot for such a simple question.
Its answer is wrong, a simple check will show that.



Tim's present age -- x
Mom's age 5 years ago --- 3x
Mom's age now = 3x+5

x + 3x+5 = 45
4x = 40
x = 10

so Tim's present age is 10 years
His mom's age is 3x+5 = 35 years

Probably late late fiftys