Question

one number is 5 times another if 8 is subtracted from the greater the remainder will be 3 times the smaller find the number​

Answer 1

let the smaller no. be X

and the larger no. be 5X

According to question

5X - 8 = 3X

5X - 3X = 8

2X = 8

X = 8/2

X = 4

So smaller no. = 4

and larger no.= 5×4 = 20

Hope it will help you

Answer 2

Given

$\rm{let \: the \: smallest \: number \: be \: x}$

$\rm{let \: the \:greatest \: number \: be \: 5x}$

$\rm{ \:18 \: is \: subtrcted \: from \: greater \: number \: </p><p> \:5x - 18}$

$\rm{it \: equal \: to \: 3 \: times \: smaller}$

$\rm{i.e}$

$\bf{ \huge{ \boxed{ \red{ \tt{5x - 18 = 3x \: }}}}}$

$\sf{5x - 3 = 18}$

$\sf{2x = 18}$

$\sf{ \times = \frac{18}{2}}$

$\sf{x = 9}$

$\rm{ \: so \: 9 \: is \: smaller \: number}$

$\rm{now \: to \: get \: bigger \: number \: multiply \: 5times \: 9 I.e. \: 5×9=45}$

$\bf{ \huge{ \boxed{ \pink{ \tt{smaller \: number \: is \:9 \: }}}}}$

$\sf{ \huge{ \boxed{ \red{ \sf{big \: number \: is \: 45 \: }}}}}$