Easy question
...but worth thinking about how you can get the answer quickly. And how many different answers there are.
This comes from brilliant.org
This comes from brilliant.org
Work out x
How did you do it?
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Area and Perimeter 1
There are 16 possible solutions:
ReplyDeleteAssuming
a x b = c
I + j = k
x - y = z
You start of by finding that c can only equal 6 or 8 meaning a or b must equal 2.
Since you can also conclude that either k or x must equal 9 you can arrive with 12 different equations.
When k or x = 9
1,8
3,6
4,5
5,4
6,3
8,1
We will ignore the last there as they are just the other way around.
We can find out that there is no way to use 1,8 or 3,6 but is a way for 4,5.
We also know that a can switch with b, I can switch with j and y can switch with z. This gives 8 possible rearrangements.
Since x or k could equal 9 there is double 8 amount of solutions making it 16.