Aryan Number theory challenge 1

Find the sum of all fractions which can be written in form 6 l 1 4 l 3 \dfrac{6l-1}{4l-3} and 7 k 5 5 k 3 \dfrac{7k-5}{5k-3} for some integer k k and l l .


The answer is 11.1589.

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1 solution

Rajdeep Brahma
Apr 4, 2017

Cross multiply & simplify to get kl+8k+l-6=0
k(l+8)+l-6=0
(k+1)(l+8)=14=2X7=1X14=(-2)X(-7)=(-1)X(-14) & proceed .You'll get it if you don't make any calculation error.

how to do it please elaborate

Rishabh Joshi - 11 months, 1 week ago

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