Question

Both ABC and 3D8 are three digit numbers such that ABC - 3D8 = 269. If 3D8 is divisible by 9, what number does ABC represent?

Answer 1

3D8 is divisible by 9 ⇒ sum 3+D+8 is divisible by 9
⇒ 11+D=18, D=18-11, D=7
⇒ 3D8= 378
abc - 378 = 269
abc= 269+378
abc= 647