Question

Four-fifths of a number is 30 more than two-thirds of the number. Find the number

Answer 1

this is the answer in the photo(225)

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}}}\circ\circ\circ\circ$

$Let\:the\:number\:is\:=x\\\\So\:fourth-fifth\:of\:the\:number\:is=\frac{4}{5}x\\\\and\:two-thirds\:of\:the\:number\:is=\frac{2}{3}x\\\\According\:to\:the\:question,\\\\\implies\frac{4}{5}x-30=\frac{2}{3}x\\\\\implies\frac{4}{5}x-\frac{2}{3}x=30\\\\We\:take\:the\:LCM\:of\:5\:and\:3=15\\\\\implies\frac{12x-10x}{15}=30\\\\\implies2x=30\times15\\\\\implies x=\frac{30\times15}{2}\\\\\implies x=\boxed{225\:answer}$