Question

$$\begin{gathered} Q1.If\frac{5m+2}{2}=6,thenfindthevalueof3m+4? \\ Q2.Twonumbersareintheratio8:9.Ifthesumofnumberis153.Findthetwonumbers. \\ Q3.22\frac{1}{2}mofcottonclothRs214.20.Whatisthe\cos tof6\frac{3}{4}m? \\ Q4.11busescancarry495people.Howmanypersonstravelby8buses. \end{gathered}$$

Answer 1

Dear Student,

$$\begin{gathered} \mathit{Q}\mathbf{}\mathbf{1}\mathbf{.}\mathit{G}\mathit{i}\mathit{v}\mathit{e}\mathit{n}\mathbf{:}\frac{5m+2}{2}=6 \\ Bycross-multiplication, \\ \left(5m+2\right)=6\times 2 \\ 5m+2=12 \\ 5m=10 \\ m=\frac{10}{5}=2 \\ Valueof\left(3m+4\right)=3\times 2+4=10 \\ \mathit{Q}\mathbf{}\mathbf{2}\mathbf{.}\mathbf{}Letthetwonumbersbe8xand9x \\ Then,8x+9x=153 \\ 17x=153 \\ x=\frac{153}{17}=9 \\ Hence,thenumbersare8\times 9=72and9\times 9=81. \end{gathered}$$

For remaining queries we request you to post them in separate threads to have rapid assistance from our experts.

Regards