Question

if 3/4 of a number is added to 5/4 it gives the same result as taking 7/8 of the number from 20 ⅓. Find the number​

Answer 1

Given:

`(3)/(4)` of a number is added to
`(5)/(4)` it gives the same result as taking
`(7)/(8)` of the number from
`20(1)/(3)`.

To find:

The unknown number.

Solution:

Let x be the unknown number.

`(3)/(4)` of a number is added to
`(5)/(4)` it gives the same result as taking
`(7)/(8)` of the number from
`20(1)/(3)`.

`(5)/(4)+(3)/(4)x=20(1)/(3)-(7)/(8)x`

`(5+3x)/(4)=(61)/(3)-(7)/(8)x`

`(5+3x)/(4)=(488-21x)/(24)`

Multiply both sides by 24.

`6(5+3x)=488-21x`

`30+18x=488-21x`

`18x+21x=488-30`

`39x=458`

Divide both sides by 39.

`x=(458)/(39)`

Therefore, the required number is
`(458)/(39)`.