If five less than three-fourths of an integer is the same as five more than one-eighth of the same integer, what is the integer? so I guess the equation we're solving is 5-…

Question

If five less than three-fourths of an integer is the same as five

more than one-eighth of the same integer, what is the integer?
so I guess the equation we're solving is
`5-3/4x = 5+1/8x`

Answer 1

Given:

Five less than three-fourths of an integer is the same as five more than one-eighth of the same integer.

To find:

The integer.

Solution:

Let x be the unknown integer.

So, according to the question,

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

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

`(6x-x)/(8)x=10`

Multiply both sides by 8.

`5x=10* 8`

`5x=80`

Divide both sides by 5.

`x=(80)/(5)`

`x=16`

Therefore, the required integer is 16 and your equation
`5-(3)/(4)x=5+(1)/(8)x` is incorrect.