Question 122
Determine all four-digit numbers $\overline{a b c d}$ such that
$$
(a+b)(a+c)(a+d)(b+c)(b+d)(c+d)=\overline{a b c d}
$$
$$
(a+b)(a+c)(a+d)(b+c)(b+d)(c+d)=\overline{a b c d}
$$
MathNet 2016-part-02 — 184 problems (EN–VI) Question 122
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)