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

-------------------

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