Consider the equation 2019x + 2020y = 2018. Are there integers x and y that satisfy this equation?
Concepts in this lesson will help you to answer this question and more.
GCD of two numbers a and b is their greatest common divisor. For example for 10 and 15, GCD is 5.
Bezout Theorem, in essence, describes the equation 10x + 15y = 5. It ensures that there are integer solutions to this equation. In fact for any two integers a and b, if GCD(a, b) = d, Bezout Theorem says that there are integer solutions to the equation: ax + by = d

In 2026, the following Cheenta students have been successful for Indian Statistical Institute's M.Stat Entrance. They ranked within the first 50 in the entire country in these entrances. I.S.I. M.Stat Entrance

In 2026, the following Cheenta students have been successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 200 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 days every week. CMI B.Sc. Math Entrance […]

In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]

Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.