Puzzles, Riddles with Mathematics?

Yesterday I got a mail from one of my old friend, who is a genius in mathematics and one of the best critic of my work. He posed a simple question in that mail. I believe that simple question is relevant for all.

“Why are you mixing puzzles, riddles or brainteasers  with mathematics?”

Actually he wanted to ask why I am posting puzzles, riddles or brainteasers on QuickerMaths.com

I thought of many points.  But don’t worry I will not burden you with “Why to Solve Puzzles?” list.

I would like this answer to come from some discussion between ourselves. I am posing 2 mathematical puzzles and one logical puzzle or riddle. The aim is to know how mathematics help us in diagnosing  the problem and going beyond the obvious.

Mathematical Puzzles

This puzzle uses simple counting. Love with numbers prevent you from going wrong. Try yourself.

In the Sareen family each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. Now can you tell me how many sons and how many daughters do the Sareen family have?

Second one examines your observation with respect to calendar -

One day Kerry celebrated her birthday. Two days later her older twin brother, Terry, celebrated his birthday. How come?

Logical Reasoning Puzzle

Now the next one is very common or popular puzzle. I am citing this as an example to prove that, the way a mathematician or simply a layman like me or you who loves mathematics, will solve it is different from a maths hater. Here is the logical riddle -

A farmer was going to town with a fox, a goose and a sack of corn. When he came to a stream, he had to cross in a tiny boat, and could only take across one thing at a time. However, if he left the fox alone with the goose, the fox would eat the goose, and if he left the goose alone with the corn, the goose would eat the corn. How does he get them all safely over the stream?

Friends, lets discuss to get the answer for me.

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