SOLUTION: +6A +CB --------- 1B7 In the correctly worked addition problem above, each of the three letters A,B,C represents a different digit and B+C = 14. What is the value of A then

Algebra ->  Real-numbers -> SOLUTION: +6A +CB --------- 1B7 In the correctly worked addition problem above, each of the three letters A,B,C represents a different digit and B+C = 14. What is the value of A then      Log On


   



Question 1076443: +6A
+CB
---------
1B7
In the correctly worked addition problem above, each of the three letters A,B,C represents a different digit and B+C = 14. What is the value of A then?

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
....6A
+...CB
-------
..1B7
(60 + A) + (10C + B) = 100 + 10B + 7
A - 9B + 10C = 47
9B + 9C = 126
A + 19C = 173
173/19 = 9 = C and A = 2