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?
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
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.