The Limited Times

Now you can see non-English news...

Magic 45 - Puzzle of the week


A number is to be broken down into four summands that have amazing properties. Is that possible?



This week there is a problem that is hopefully only confusing at first glance.

It's about the number 45. It should be divided into four summands that have special properties.

You always get the same number if you:

  • 2 is added to the first summand

  • subtracts 2 from the second summand

  • divides the third summand by 2

  • multiplies the fourth summand by 2.

Is such a division of the number 45 possible?

What are the four summands?

Yes, there is a solution:

8, 12, 5, 20


The task with four unknowns seems unwieldy.

But with a simple trick, four unknowns become one.

With a we denote the number that is the result of the operations described above for the four summands.

Then we can express the summands themselves in terms of a: a-2, a+2, a/2, a*2.

The sum of these four summands must be 45.

So we write:

45 = a-2 + a+2 + a/2 + a*2

45 = 4*a + a/2

90 = 9*a

a = 10

Now we can easily calculate the four summands with a-2, a+2, a/2, a*2 - they are

8, 12, 5, 20


I discovered this easy number puzzle on the website

In case you missed a mystery from the past few weeks, here are the most recent episodes:

  • Perfectly arranged

  • Can these calculations add up?

  • Five points, three angles

  • Amazing exchange of digits

  • water march!

  • The jaunt

  • The card trick

  • How many elevators are needed?

  • Rook versus bishop

  • Beetles in love

Source: spiegel

All business articles on 2022-10-02

You may like

Life/Entertain 2022-07-08T15:30:07.775Z
Business 2022-06-19T14:34:50.462Z
Business 2022-10-02T04:48:56.391Z
Business 2022-07-10T11:42:50.784Z

Trends 24h

Business 2022-11-26T15:27:00.849Z
Business 2022-11-26T14:26:18.491Z


© Communities 2019 - Privacy