Question

If two thirds of a rational number exceeds its threefifths by 1right 3upon4 find the rational number

Answer 1

$\huge\sf\bigstar\red{Answer:}$

$\textsf{Let the rational numberbe x.}$

$\textsf{According to the given condition.}$

$\sf{\dfrac{2x}{3}=\dfrac{3x}{5}+1\dfrac{3}{4}}$

$\therefore{\sf{\dfrac{2x}{3}=\dfrac{3x}{5}+\dfrac{7}{4}}}$

$\sf{\therefore{2x=3\times(\dfrac{12x+35}{20})}}$

$\sf{\therefore{20(2x)=36x+105}}$

$\therefore{\textsf{40x-36x=105}}$

$\therefore{\textsf{4x=105}}$

$\therefore{\sf{x=\dfrac{105}{4}}}$

$\sf{The \ rational \ number \ is \ \dfrac{105}{4}.}$