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
So your answer would be P+E+A+C+E = 1+0+2+7+0= 10.
USA+ USSR= PEACE Here P is carry , P=1 when p=1, E=0 with carry 1 AND U=9 A+R=E=0 with carry 1.so, A=2 and R=8 U+S=A=2 with carry 1, S=3 S+S+1=C, 3+3+1=c=7 932+9338=10270 so, P+E+A+C+E=1+0+2+7+0=10 =>ANS 10