Question

Q.):- A rope is (2x + 3) metres long. Another rope of (3x - 7) metres is attached to it. What is the total length of the two ropes together?

Answer 1

$$\begin{gathered} \mathrm{Length}\mathrm{of}\mathrm{first}\mathrm{rope}=\left(2\mathrm{x}+3\right)\mathrm{m} \\ \mathrm{Length}\mathrm{of}\mathrm{second}\mathrm{rope}=\left(3\mathrm{x}-7\right)\mathrm{m} \\ \mathrm{Total}\mathrm{length}\mathrm{of}2\mathrm{ropes}\mathrm{together}=\left(2\mathrm{x}+3\right)+\left(3\mathrm{x}-7\right) \\ =\left(2\mathrm{x}+3\mathrm{x}\right)+\left(3-7\right) \\ =\left(5\mathrm{x}-4\right)\mathrm{m} \end{gathered}$$