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What do you know? (Posted on 2020-04-29) Difficulty: 3 of 5
WHAT*NOW=KKKKKK

Solve the above equation, without use of computer or calculator.

Evaluate KNOW+HOW=?


No Solution Yet Submitted by Ady TZIDON    
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factorization and trials | Comment 1 of 3
WHAT
  NOW
-----------
KKKKKK

K element of { 1,2,2,3,4,5,6,7,8,9 }
111111 = 3 x 7 x 11 x 13 x 37
we need a 4 digit and a 3 digit number.. taking it one combination at a time..
111111 = { 3 x 7 x 11 } x { 13 x 37 }
             = 231 x 481 ( 2 3 digit numbers.. not a valid soln )
222222 = 231 x 481 x 2 = 231 x 962 ( 2 3 digit numbers.. not valid )
333333 = 231 x 481 x 3 = 231 x 1443 ( pattern not matching )
444444 = 231 x 481 x 4 = 231 x 1924 ( pattern matches )

W = 1
H = 9
A = 2
T = 4
N = 2
O = 3
K = 4

KNOW + HOW = 4231 + 931 = 5162




  Posted by shiva on 2020-04-30 00:12:36
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