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2 answers:
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The date are given by the expressing the given information as functions,
and evaluating based on the constraints.
Response:
- <u>Venus is 15 years, and Ursula is likely 24 years old</u>
- <u>Venus is likely born on a Thursday</u>
Let <em>x</em> represent the number of years age when Ursula's age was the
same as Venus's age now and let <em>y </em>represent the age of Venus, we
have;
Ursula's age = y + x = 4 × (y - x)
y > 12
Which gives;
y + x = 4 × (y - x) = 4·y - 4·x
y + x = 4·y - 4·x
5·x = 3·y
<em />
<em>y</em>, and <em>x</em> are whole numbers, which gives;
When <em>x</em> = 9
- Ursula's age = 15 years + 9 years = <u>24 years</u>
From the calendar, we have;
Sundays in December 2021 includes the 7th, 14th, 11st and 28th of
December
The year Venus is born = 2021 - 15 = 2006 Calendar
7th, 14th, 11st and 28th of December 2006 are on Thursdays
Therefore;
- <u>Venus was born on a Thursday</u>
Learn more about date calculations here: