USA+USSR=PEACE
then P+E+A+C+E=?

• U S A
  (+)U S S R
  ---------------
  P E A C E If each of the alphabets represent an unique digit,
  --------------- and the front digit is not zero, find their values..
  Soln:
  
  
  NOTE: the max carry tat can be produced by adding two single digit nos is 1
  • The value of P is obviously 1..
  •The value of E is 0(9+1=10) and 1 goes as carry..
  •considering the one's column(A+R=E),as E is 0,A+R must be 10 and the carry s forwarded to ten's column..
  •now trial n error and backtracking starts..
  •lets try in order from one's column.. A+R=10..lets try in numerical order..since 1 is in use,lemme assume A=2 and obviously R=8..
  •and let me go on with my assumption in ten's column too,and try with S=3(as 1,2 r in use)..
  •this gives 1+3+3=7.and C becomes 7 form our assumption..
  •continuing in 100's column,U(9)+S(3)=>12..which shows and carry=1 ,A=2.this coincides with our assuption..
  •in 1000's column,1+U(9)=10,showing E=0 and P=1 ,shows our assumptions ars perfect..
  9 3 2
  + 9 3 3 8
  -------------------
  1 0 2 7 0
  -------------------
• 11 years agoHelpfull: Yes(46) No(1)
• can any one explain it clearlyy
• 11 years agoHelpfull: Yes(5) No(0)
• please check with my solution
  9447+943=10390
  it is also match with this problem..can any one tell me??? for this type of problem may possible 2 different answer.
• 10 years agoHelpfull: Yes(2) No(1)
• usa=>932
  ussr=>9338
  peace=>10270
  p+e+a+c+e=10
  
• 11 years agoHelpfull: Yes(1) No(4)
• how to solve this kind of sums...can any1help me
  
• 10 years agoHelpfull: Yes(1) No(0)
• how to solve cryptarithmetic??
  
• 11 years agoHelpfull: Yes(0) No(1)
• USA ===> 938
  +USSR ===> 9332
  -------===> ------
  PEACE ===> 10270
  -------- -------
  
• 11 years agoHelpfull: Yes(0) No(2)
• USSR
  +USA
  PEACE
  P=1,E=0,U=9,A=2,C=7,R=8,S=3
  1+0+2+7+0=10
• 11 years agoHelpfull: Yes(0) No(2)
• 932+9338=10270
• 11 years agoHelpfull: Yes(0) No(0)
• 943+9442=10385
• 11 years agoHelpfull: Yes(0) No(1)
• sry. it's wrong
• 11 years agoHelpfull: Yes(0) No(0)
• cryptarithmatic is all about practicing...practice makes man perfect!!!!!!
  here...
  E=0,P=1,A=2,S=3,C=7,R=8,U=9
  USA=932
  USSR=9338
  PEACE=10270
  1+0+2+7+0=10
• 10 years agoHelpfull: Yes(0) No(0)
• 10270 is the right answer.10390 can't be the answer because both C and U cannot have the same value.
• 9 years agoHelpfull: Yes(0) No(0)
• . U S A
  (+)U S S R
  ---------------
  P E A C E
  ---------------
  considering that every alphabet represents a unique no.(0-9 obviously)
  
  P=1 (only possible carry generated)
  E => generated carry => U of USSR must have a carry on it (1)
  => U + (1) >= 10 but U A + R = 10
  U + S results in A
  => S + 9 = 1A =10 + A
  from above two equations we get
  S + R = 11
  A + R = 10
  => S = A + 1
  and as A + R = 10
  possible values of A/R are 2/8, 3/7, 4/6, 6/4, 7/3, 8/2
  for S : 3,4 (because c=2s, so 5 is a no go)also S>=5 generates carry which changes our equation to
  S+U+(1) = 1A => S+10 = 1A=>>> A=S which is not possible
  
  so the right answers are:
  
  A=2,S=3 => PEACE = 10270
  A=3,S=4 => PEACE = 10390
  
  
  9 3 2
  + 9 3 3 8
  -------------------
  1 0 2 7 0
  -------------------
• 3 years agoHelpfull: Yes(0) No(0)