How quick can you solve this using these numbers 1,2,2,4,6,7,7,8,9
(___) + (___) ÷ (___) = 2
x + +
(___) -- (___) + (___) = 5
-- + +
(___) + (___) -- (___) = 13
= = =
7 15 15
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Answers
Given : numbers 1,2,2,4,6,7,7,8,9
To find : Combinations of numbers satisfying all these
Solution:
Starting from Let most bottom
it can be 6 , 7 , 8 , 9 or as sum of 1st two > 13
6 & 8 are not possible as then product of 1st two in 1st column required will be 13 or 15 which is not possible
Hence it can be 7 or 9
if 7 then 1st column must be 2 , 7
so no more 7 left
hence bottom row will have 8 & 2
This way we will conclude
(_7__) + (_1__) ÷ (_4__) = 2
x + +
(_2__) - (_ 6__) + (_9__) = 5
- + +
(_7__) + (_8__) - (_2__) = 13
= = =
7 15 15
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