Question

when 1/ 3 is subtracted from a number and the difference is multiplied by 4, the result is
28. Find the number.​

Answer 1

Answer:

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

$\rm{(x- \frac{1}{3} )4 = 28}$

$\rm{x - \frac{1}{3} = \frac{28}{4} }$

$\rm{x - \frac{1}{3} = 7}$

$\rm{x = \frac{7 \times 3}{1 \times 3} + \frac{1}{3} }$

$\rm{x = \frac{21 + 1}{3} }$

$\rm{x = \frac{22}{3} }$

$\rm{original \: fraction \: is \: \frac{x - 6}{x} }$

$\rm{ \frac{x - 6 + 3}{x} = \frac{2}{3} }$

$\rm{ \frac{x - 3}{x} = \frac{2}{3} }$

$\rm{3(x - 3) = 2x}$

$\rm{3x - 9 = 2x}$

$\rm{x = 9}$

$\rm{So \: original \: fraction \: is \: 3/9 = 1/3}$

Answer 2

Step-by-step explanation:

(x-1/3)×4=28

4x-4/3=28

(12x-4)/3=28

12x-4=28×3

12x-4=84

12x=84+4

12x=88

x=88/12

x=7.33