Ms. Willow's birth year = x
This year = 2020
80th birth year = x + 80
30th birth year = x + 30
Present age = 2020 - x
(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42
Simplify the right side.
-2x + 3930 = 42
Subtract 3930 from both sides.
-2x = -3888
Divide both sides by -2
x = 1944
1944 is Ms. Willow's birthday year.
As stated previously, her present age is 2020 - x, which equals 78
Ms. Willow is 78 years old
Here we want to interpret a word problem and transform it into an equation that we can solve.
We will find that her current age is 76.
First, let's define variables:
Her birth year = x
This year = 2021 Â (naturally this depends on the year we are on)
80th birth year = x + 80
30th birth year = x + 30
Then the actual age is the difference between the current year and the year when she was born:
Age = 2021 - x
What she says is:
"If you add the year of my birth to this​ year, subtract the year of my 80th birthday and the year of my 30th ​birthday, and then add my present​ age, the result is ​42."
(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42
Now we can solve this for x:
x + 2021 - x - 80 - x - 30 + 2021 - x  = 42
(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42
-2*x + 3932 = 42
3932 - 42 = 2*x
3890 = 2*x
3890/2 = x = 1945
The current age is:
age = 2021 - x = 2021 - 1945 = 76
Her current age is 76.
If you want to learn more, you can read:
https://brainly.com/question/24595783
