Question

One - fourth of a number is 10 less than two -third of a number. Find the number .

Answer 1

$\huge{ \bf{ \underline{ \pink{sᴏlᴜᴛɪᴏɴ :}}}}$

$\tt{→ Let \: the \: number \: is \: “x”}$

$\tt{→ One - Fourth \: \:Of \: “x” = \frac{x}{4}}$

$\tt{→ Two - Third \: \: Of “x” = \frac{2x}{3}}$

$\tt{ \underline{ \pink{→ According \: To \: Question : }}}$

$\tt{→ \frac{x}{4} \: is \: 10 \: less \: than \frac{2x}{3}} \:$

$\tt{→ \frac{x}{4} = \frac{2x}{3} - 10}$

$\tt{→ \frac{x}{4}- \frac{2x}{3} - 10}$

$\tt{→ \frac{3x-8x}{12} = \frac{-10×12}{12}}$

$\tt{→ -5x = -120}$

$\tt{→ x = \frac{-120}{-5}}$

$\huge\boxed{ \tt{ \pink{→ x = 24}}}$