A Bananach space

The answer is (3) The prince is 30 and the
princess is 40.

Let the pricess' age be labelled 'a', and the prince's age be labelled 'b'.

Let a subscript label the time at which an age is measured.

For example, b_1 is the prince's age at 'time 1', and b_2 is the prince's age at another time, 'time 2', etc.


So the first few words in the problem says the princess' age now (now = time 1) is equal to the prince's age at some futute point in time ("will be" = time 2)

a_1 = b_2

Next it states that at this 'time 2' the princess is twice as old as the prince was at some point in the past (time 0).

a_2 = 2 * b_0

And finally, at this past time (time 0), the princess' age was half the sum of their present ages.

a_0 = 0.5 * ( a_1 + b_1 )

Now since everyone's age increases by the same amount in the same timeframe, we can also say that

a_1 - a_0 = b_1 - b_0

and

a_2 - a_0 = b_2 - b_0

we now have enough to solve the problem. by substituting equation 2 into 5, and then the result, along with equations 1 and 3, into equation 4, we can eliminate all the variables except a_1 and b_1.

After a little tidying up we get the relation:

a_1 = (4/3) * b_1

which is a relation between their current ages.

By looking at the multiple choice options, the only one that can satisfy the relation above is option 3: The prince is 30 and the princess is 40.

A golf club!

Woman

Because they were all marrieFour men were in a boat on the lake. The boat turns over, and all four men sink to the bottom of the lake, yet not a single man got wet! Why? necubi@reborn.com

[hide=Answer]Because they were all married and not single.

Because they were all married and not single.

The Dentist.

The woman

Hold on. I'll tell you in a second.

Cancer

My ass. Nyah, haha, haha, haha, ENOUGH.