Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2022 SSMO Relay Round 1 Problems/Problem 1

Revision as of 13:09, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Suppose <math>a, b, c</math> are distinct digits where <math>a \not= 0</math> such that <math>\left(\overline{abc}\right)^2 = \overline{bad00}</math> where <math>d...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Suppose $a, b, c$ are distinct digits where $a \not= 0$ such that $\left(\overline{abc}\right)^2 = \overline{bad00}$ where $d = a+b$. Find $a+2b$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2022_SSMO_Relay_Round_1_Problems/Problem_1&oldid=207324"