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 Post subject: RE: What is the answer of this math question ii) ?Posted: Tue Jan 17, 2012 9:59 am

Joined: Thu Feb 10, 2011 2:31 pm
Posts: 79
Dear all,
Help is needed to understand how to do this math question ii) ?

Best regards.
Shagor21

http://www.evernote.com/shard/s125/sh/d ... eda9170ef9

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 Posted: Tue Jan 17, 2012 11:01 am

Joined: Thu Feb 24, 2011 12:34 pm
Posts: 207
You have numbers on one of the diagnonals (15+5+12+2), which adds up to 34. You then know that every row and column plus diagnonal should add up to 34.
This is what I end up with:

14 11 7 2
1 8 12 13
4 5 9 16
15 10 6 3

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 Posted: Sat Jan 28, 2012 6:22 am

Joined: Wed Jan 25, 2012 7:43 pm
Posts: 187
The key I would think is to find the answer without having to complete the magic square.

Let us call the funny symbol as X (the answer we need to find).

One can see that the first column (which has X) and the third row share a common cell. Let us call it C.

In which case, the sum of first column is = 14 + X + C + 15 = 29 + X + C

Sum of the third row is = C + 5 + 9 + 16 = 30 + C

As it is a magic square, the sum of first column and third row need to be equal to each other i.e.

29 + X + C = 30 + C

X is therefore equal to 1

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 Posted: Mon Jan 30, 2012 10:44 am

Joined: Tue Oct 04, 2011 8:44 am
Posts: 1383
I just did:

sum the diagonal that is fully populated to get 34

then fill in the missing value below the smiley by summing the 3rd row:

34- (5+9+16) = 4

then find the smiley by summing down its column:

34- (14+4+15) = 1

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