#1**+1 **

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

CPhill
Feb 7, 2018