Stage: 4 Challenge Level: 
Write 100 as the sum of two positive integers, one divisible by
7 and the other divisible by 11. Use your answer to find formulas
giving all the solutions of the following equation where x and y
are integers.
$$7x + 11y =100$$
Euclid's algorithm. Stage 5 - Reviewed 2012. Dynamical systems. Mathematical reasoning & proof. Integers. epsilons. Inequality/inequalities. Other equations. Diophantine equations. Formulae.
Published September 1999.
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