Brainteasers #2
are the nine integers from one to nine (not necessarily in order). They satisfy the following constraints:
What values are taken by each of A
to I
?
Answer below:
Since and sum to 40, must be 5.
If E
is 5, subtracting equation 1 with equation 2, A - 5 - F = 0
; subtracting equation 3 with equation 4, D +5 - I = 0
. So, any combinations that satified these two equations can be the answer. For example, A=9
, F=4
, D=2
, I=7
.
With this, only B
, C
, G
, H
are left. Subtracting equation 2 with equation 3, B + C = G + H
. There are again many combinations depending on what you chose for A
, F
, D
, I
. If we used the above numbers, what’s left is 1, 3, 6, 8
. So, one answer can be B=1
, C=8
, G=6
, H=3
.
Comments ()