Lorenzo : "Ciao Giovanni, how's your business?"

Giovanni : "Not so bad"

Lorenzo : "What are those boxes?"

Giovanni : "They're to be shipped from Rome to Tokyo"

Lorenzo : "This box contains 'APPLES', and this box 'BANANAS', and this contains 'CHERRIES'... What's this box labeled 'MIX' for?"

Giovanni : "In this box apples, bananas, and cherries are put together"

Lorenzo : "Uh-oh. How many pieces in total are there in this box?"

According to Giovanni, the numbers of apples, bananas, cherries in the "MIX" box (hereafter A, B, C, respectively) meet the following conditions:

- A, B, C are all positive integers

- C is a square number

- A > B > C, and A > C*2 > B

- A and B are multiples of 10, and neither of them is a multiple of 7; however A+B is a multiple of 7

- B–C is a prime number

So how many pieces in total (=A+B+C) are there in the box with the label "MIX"?

Answer (numerics):

You might think of more than one combination of those numbers that meet the conditions,

but noting "something" will lead you to the one and only answer.

but noting "something" will lead you to the one and only answer.

A, B, C stand for Apple, Banana, Cherry, respectively.

Well, it doesn't have anything to do with the answer, of course not...

Well, it doesn't have anything to do with the answer, of course not...