A Simple Sum

Logic Level 2

X X X X Y Y Y Y + Z Z Z Z Y X X X Z \begin{array}{c}& X & X & X & X\\ & Y & Y & Y & Y\\ + & Z & Z & Z & Z\\ \hline Y & X & X & X & Z\end{array}

In the sum above, each letter represents a digit (0,1,2,3,4,5,6,7,8,9).

Find the value of Z Z .

By the way X , Y X,Y and Z Z are not equal.


The answer is 8.

Natanael Flores by Natanael Flores , 31, Mexico

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1 solution

Natanael Flores
Feb 18, 2016

We have that X+Y+Z=Z (only the unit number) so X+Y=10

Also we have X+Y+Z+1=YX (the thousands number), so Y=1

Then X=9

Analyzing a little we can see that the only possible value for Z is 8.

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