Question

6 more the oneforth of a number is two fifths of the number find the number

Answer 1

$\huge\boxed{\texttt{\fcolorbox{red}{aqua}{Hey Mate!!!}}}$

$\mathsf{Let \: \: the \: \: number \: \: be \: \: x.}$

$\mathsf{According \: \: to \: \: the \: \: question,}$

$\mathsf{ \frac{1}{4} x + 6 = \frac{2}{5} x}$

$\mathsf{ = > \frac{1}{4}x - \frac{2}{5} x = - 6}$

$\mathsf{ = > \frac{5x - 8x}{20} = - 6}$

$\mathsf{ = > - 3x = - 6 \times 20}$

$\mathsf{ = > - 3x = - 120}$

$\mathsf{ = > x = \frac{120}{3}}$

$\mathsf{ = > x = 40}$

$\mathsf{Hence, \: \: the \: \: number \: \: is \: 40.}$