You are here

What is the weight of the fish?

What is the weight of the fish?

That day in the Srijani farm, they arranged a fishing party. As luck would have it, only Debu caught a Rohu and promptly weighed it. When the other friends asked him about the weight of the fish, Debu replied in the form of a riddle,

Let us assume the tail of the fish weighs 125 gms, the head as much as the tail and half the body, and the body weighs as much as the head and tail together. Well then, how much is the weight of the fish?

Time for you to answer: 3 minutes.

No algebra please. Just mental arithmetic and reasoning.

Solution to find the weight of the fish math puzzle

It is clear that both the other two components, body and head weights must be expressed in terms of the tail, the only known figure.

Let us first clearly state the two given statements again,

  1. head equals tail and half the body, and
  2. body equals head and tail.

It is clear by doubling all three components in the first statement that,

Twice the head equals body and twice the tail.

But body equals head and tail. So, twice the head equals on head and three tails. So,

One head equals thrice the tail and body equals four times the tail.

And the total weight of the fish,

Head + body + tail = 3 times tail + 4 times tail + 1 tail = 8 times tail = 1 kg.

Answer: Weight of the fish was 1 kg.

Do you want to know how to solve difficult problems easily without wasting time on random attempts?

Our new ebook on puzzle solutions by innovative methods will show you just that.

Puzzles for Adults eBook

Puzzles for Adults: 50 Brain Teasers with Step-by-Step Solutions: Boost Your Power of Problem Solving

(Universal link for Apple books, Barnes & Noble, Rokuten Kobo, Vivlio, Angus & Robertson, Tolino, PayHip and others)

You will enjoy solving its 50 challenging brain teasers and at the same time boost your power of problem solving from the innovative step by step solutions rich with new ideas.

The general problem solving techniques are collected first time in a separate chapter.

It's not just solving puzzles. It is also learning innovative problem solving techniques that will change the way you try to solve ANY problem.

You may buy the eBook at Amazon or at Google Play.

Puzzles you may enjoy

Easy to hard brain teasers with systematic solutions

Challenging brain teasers with solutions: Long list.

This will always be the most up-to-date full list with the brain teasers classified into categories that can be browsed separately.

You may also click on the category term link below to enjoy the brain teasers that are classified in the present category.

For example, if the category term link shown below is "Riddle", click on it to go through all the Riddles.