At her birthday party, Ms. Willow would not give her age directly. She said, '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.'

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  (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:

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77

step-by-step explanation: