What is the value of the three-digit number SSS if SSS is the sum of the three-digit numbers ABC and XYZ, where each letter represents a distinct digit from 0 to 9, inclusive?

1) S = 1.75 X

2) S^2 = 49zx/8

I don't have an OA but for me the answer is D. This is how I got it. Again please check my approach and let me know if anything is not right.

Statement 1

S = 1.75 x ==> 175 x/100 ==>7x/4. x has to be a multiple of 4 for S to be an integer. So x can ONLY be 4. X cannot be 8 or any other multiple of 4 because if we take x = 8 then S =14 which is a 2 digit number. So S = 7. Therefore SSS is 777. Sufficient.

Statement 2

\(S^2\) = 49zx/8 ==> S = 7 \(\sqrt{zx/8}]\). Now since S is an integer, 7 \(\sqrt{zx/8}\) must be an integer as well. Also, 7 \(\sqrt{zx/8}\)must also be less than 10. and this can only happen when \(\sqrt{zx/8}\) = 1. Therefore, S = 7(1) = 7 and SSS will become 777. Sufficient.

Therefore D is my answer.

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Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730