Question

How do I solve this? Please show the steps as well. Thank you.

Answer 1

`\implies12`

Explanation:

• Let the number be x

• sum of 8 and number = (8 + x)

• We divide this sum by 4 i.e.
  `\bf((8 \: + \: x))/(4)`

• result is
  `\bf1 \: + \: (x)/(3)`

• 
  `\bf so \: ((8 \: + \: x))/(4) \: = \: 1 \: + (x)/(3)`

• 
  `\bf((8 \: + \: x))/(4) = ((3 \: + \: x))/(3)`

• 
  `\bf3(8 \: + \: x) \: = 4(3 + x)`

• 
  `\bf24 + 3x = 12 + 4x`

• 
  `\bf24 - 12 = 4x - 3x`

• 
  `\bf12 = x`

`\therefore` The number is 12.

Answer 2

a=12

Explanation:

Let (a) be the undefined variable

from the sentence you get the equation

(8+a)/4 = 1+a/3

times both sides by 4

8+a=4+4a/3

times by 3

24+3a=12+4a

12=a