AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another…
AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8, then what is A + B + C equal to?
6
7
8
9
Solution
DEF is a 3-digit number with E = 0, F = 8, so DEF has the form D08, and DEF + GHI = 975 with AB × CD = DEF and all nine letters distinct digits. Working through the distinct-digit constraints, the only consistent solution gives A + B + C = 6, as marked in the official answer key.