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(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 ?

$Letthenumberbex\phantom{\rule{0ex}{0ex}}whennumberismultipliedby4i.e.4xitexceedsitselfi.exby36\phantom{\rule{0ex}{0ex}}Thereforewegetthefollowingequation\phantom{\rule{0ex}{0ex}}4x=x+36\phantom{\rule{0ex}{0ex}}\Rightarrow 4x-x=36\phantom{\rule{0ex}{0ex}}\Rightarrow 3x=36\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{36}{3}\phantom{\rule{0ex}{0ex}}\Rightarrow x=12\phantom{\rule{0ex}{0ex}}Hencethenumberis12$

Regards,

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