Question 75
Find all integers $a$, $b$, $c$, and $d$ that solve the system of equations
$$
a^2 + b^2 + c^2 = d + 13,
$$
$$
a + 2b + 3c = \frac{d}{2} + 13.
$$
$$
a^2 + b^2 + c^2 = d + 13,
$$
$$
a + 2b + 3c = \frac{d}{2} + 13.
$$
MathNet 2016-part-05 — 184 problems (EN–VI) Question 75
Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)