Method of successive substitution formula to obtain the solution. Method of successive substitution In modular arithmetic, the method of successive substitution is a method of solving problems of simultaneous congruences by using the definition of the congruence equation. It is commonly applied in cases where the conditions of the Chinese remainder theorem are not satisfied. There is also an unrelated numerical-analysis method of successive substitution, a randomized algorithm used for root finding, an application of fixed-point iteration. The method of successive substitution is also known as back substitution. Consider the simple set of simultaneous congruences Now, for "x" ≡ 3 (mod 4) to be
Indian National Mathematical Olympiad attend the IMO Training Camp are sent postal problems during the period July -- December that they have to solve and send back (if they are still in school). Based on their responses, some of the students are invited to the IMO Training Camp the next year directly. Others have to rewrite the INMO again (they do not have to write the Regional Mathematics Olympiad). Indian National Mathematical Olympiad The Indian National Mathematical Olympiad (INMO) is a high school mathematics competition held annually in India since 1989. It is the second tier in the Indian team selection procedure for the