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Each letter represents a different digit (1 to n). What digits do the letters represent?

H E R E S

M E R R Y

X M A S

--------------------

R E A D E R

The numbers "HERES", "MERRY" and "XMAS" are added and "READER" is the result.

What digits do the letters represent?

Update:

XMAS is written so that S is under Y of MERRY

H E R E S

M E R R Y

...X M A S

--------------------

R E A D E R

1 Answer

Relevance
  • 4 years ago

    I'm not going to solve it all but you can using basic info on the way parts of sums act

    I will use ? to stand in for an unknown 10's digit

    e.g the left column

    H+M+[any carry over ? from EEX sum] = RE

    since they are all single digits R must be 1

    so, S+S+Y = 11 (or unlikely, 21)

    and E+R+A+1 = E, so R+A+1 =10 (or unlikely, 20)

    so A=8

    etc.

    Check back and eliminate impossibilities

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