math 5th

in the following addition problem, each letter stands for a different digit.
Find the value of X, Y, and Z

XYZ
+ ZYX
_______
YYZY

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  1. xyz
    zyx
    *****
    yyzy

    Notice the leading digit y. It has to be 1. Think why. Now look at the middle digit of each number.It is 1. the last digit of the answer is 1.
    What does that mean: Z+x=11
    and then on the answer (y+y+carry 1)=3, so z=3

    we have now as the puzzle
    x13
    31X
    1131

    and finally, x has to be 8.

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    bobpursley
  2. zyzy

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