Question

(1) Twice a number decreased by 8 gives 50. find the number ?
(2) Find a number which when added to its half gives 42.
(3) A number when multiplied by 4 exceeds itself by 36. Find the number ?

Answer 1

Dear Student,


$$\begin{gathered} Letthenumberbex \\ whennumberismultipliedby4i.e.4xitexceedsitselfi.exby36 \\ Thereforewegetthefollowingequation \\ 4x=x+36 \\ \Rightarrow 4x-x=36 \\ \Rightarrow 3x=36 \\ \Rightarrow x=\frac{36}{3} \\ \Rightarrow x=12 \\ Hencethenumberis12 \end{gathered}$$

Regards,