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# Find the value of SEER in this division alphametic AIDS/A = SEER

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Find the value of SEER in this division alphametic AIDS/A = SEER

Feb 7, 2018

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AIDS / A  =  SEER

This means the same as

S E E R

A

______

A I D  S

Here's the logic of the solution

The last multiplication   S x A  =  A   implies that S  = 1

The first multiplication  R x A   results  in an ending value of 1

And....only the product 7 * 3   results in an ending  "1"

Thus  R = 3  and A  = 7  or vice-versa

This means that  EA + 2  =  D

And  EA  + ??  =   I

But there is no "carry"  because  SA  could not = A  if this were true

So...   ??  =  0

Thus...  EA  <  10

But  if A  = 7  and EA  < 10... guess that  E  could = 1

But this is impossible because S  =1

And E  cannot = 0  because the second multiplication (EA) would have to equal E if this was true

So.....A must equal  3

And E could only   = 2

And the "carry"  from R x A  = 2

Which means that

2  + EA  =

2 + 2(3)  =  8  =  D

And since there is no "carry"  on the  next multiplication ... I  must  = EA  =  6

And R  = 7

So we have that

1 2  2  7

3

_______

3  6  8  1

Or

AIDS / A   = SEER

3681 / 3   =   1227   Feb 7, 2018
edited by CPhill  Feb 7, 2018
edited by CPhill  Feb 7, 2018
edited by CPhill  Feb 7, 2018