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PostPosted: Sat Nov 02, 2019 5:58 pm 
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Joined: Tue Apr 23, 2019 5:41 pm
Posts: 5
Hi,

Please can someone help with the question below, I have researched the internet for some tutorials however could only find the "standard" magic grid question with total sums. :shock:

Q: Place the numbers 1 to 8 in each of the following grids so that each side adds up to the number in the middle.

The number in the middle is 15 for the first 3x3 grid , and 12 for the second 3x3 grid. ( Couldn't manage the paste a grid, sorry)

Can anyone help with a method of solving these please?

Many thanks


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PostPosted: Sat Nov 02, 2019 11:16 pm 
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Joined: Wed May 09, 2007 2:09 pm
Posts: 1198
Location: Solihull, West Midlands
So thinking aloud here:

If you imagine the solution, the top side plus the bottom side must add up to twice the number in the middle.

But what do the numbers 1 to 8 add up to altogether?

So what must the two left-over numbers (either side of the number in the middle) add up to?

And do the same vertically

What are the options?

(I'm just going to try this and see how it works!)

Edited to add: yes this works with a little trial and error. There are some similar style puzzles in the Times (using the numbers 1-9 arranged in a grid with different operators - a combination of knowing times tables and trying various combinations usually works)


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PostPosted: Sun Nov 03, 2019 11:19 am 
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Joined: Tue Apr 23, 2019 5:41 pm
Posts: 5
solimum wrote:
So thinking aloud here:

If you imagine the solution, the top side plus the bottom side must add up to twice the number in the middle.

But what do the numbers 1 to 8 add up to altogether?

So what must the two left-over numbers (either side of the number in the middle) add up to?

And do the same vertically

What are the options?

(I'm just going to try this and see how it works!)

Edited to add: yes this works with a little trial and error. There are some similar style puzzles in the Times (using the numbers 1-9 arranged in a grid with different operators - a combination of knowing times tables and trying various combinations usually works)



Thank you very much Solimum :)


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