Thursday, August 24, 2017

logical deduction - What is the solution of the last operation?


Each symbol represents a number between 0 and 9. You need found the number which is the solution to the last operation. The two triangles in the first operation and the triangle and the rectangle of the third operation represent a number of two digits, not a multiplication operation.


enter image description here


So, which is the number that corresponds to the last operation?



Answer



Let G, R, Y, B denote the digits corresponding to the four shapes in the order they appear (green star, red octagon, yellow triangle, blue rectangle).


In the first equation,



two 1-digit numbers sum to YY, so Y=1 (22 is too large).




In the second equation we learn B=R+1.


Now the third equation is



1B-R = 1(R+1)-R = 11,



so the answer is



11, or two yellow triangles.




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