# SOLUTION: In the addition problem below, each letter represents a different single digit. CB +AA --------- CCC What is B?

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 Question 252792: In the addition problem below, each letter represents a different single digit. CB +AA --------- CCC What is B?Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website! ``` Let the "carry" number be x, which is either 0 or 1 x CB +AA --------- CCC Then we have this system: or The second equation becoms: C cannot be 0, and x can only be no larger than 1, therefore C can be no larger than 1, since A is less than 20. So C must be 1 and x must be 1 since A must be less than 10. So C =1, x=1 and A = 10(1) - 1 = 9 Substituting in B + A = 10x + C B + 9 = 10(1) + 1 B + 9 = 10 + 1 B + 9 = 11 B = 2 Thus the solution is: 1 12 +99 --- 111 Edwin```