Question

Product A is costlier then product B by ₹2. if the price of product A is increase by two times the price of product B the new price product A becomes ₹17. what is the price of product B ?​

Answer 1

$\begin{lgathered}\red\longmapsto\:\rm \green{\dfrac{n(n - 3)}{2} = 20} \\ \\ \red\longmapsto\:\rm \: \blue{n(n - 3) = 20 \times 2} \\ \\ \red\longmapsto\orange{\rm \: {n}^{2} - 3n - 40 = 0} \\ \\\red\longmapsto\:\rm \: {n}^{2} - 8n + 5n - 40 = 0 \\ \\ \red\longmapsto\:\rm \red{n(n - 8) + 5(n - 8) = 0} \\ \\ \red\longmapsto\:\rm \purple{(n - 8)(n + 5) = 0} \\ \\ \red\longmapsto\:\bf \: n = 8 \: or \: ( - 5) \\ \\ \red\longmapsto\: \large\underline{\boxed{\bf\green{n} \orange= \purple8}}\end{lgathered}$