# Inspired by Ayush Rai

Algebra Level 3

Two arithmetic progressions are such that the ratio of the sums of first $$n$$th terms is $$7n+1: 4n+27$$.

If the ratio of the $$m$$th terms of the two arithmetic progressions is $$X$$, where $$X$$ is in terms of $$m$$, find $$X+\dfrac {6-14m}{8m+23}$$.

Inspiration

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