Question

I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?

im sorry please hurry

Answer 1

Given:

In a number, adding
`1(3)/(4)`, then multiplying the result by
`2(2)/(11)` we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

`(x+1(3)/(4))* 2(2)/(11)=8`

`(x+(1* 4+3)/(4))* (2* 11+2)/(11)=8`

`(x+(4+3)/(4))* (22+2)/(11)=8`

`(x+(7)/(4))* (24)/(11)=8`

Multiply both sides by
`(11)/(24)`.

`x+(7)/(4)=8* (11)/(24)`

`x+(7)/(4)=(11)/(3)`

Subtract
`(7)/(4)` from both sides.

`x=(11)/(3)-(7)/(4)`

`x=(44-21)/(12)`

`x=(23)/(12)`

`x=1(11)/(12)`

Therefore, the required number is
`1(11)/(12)`.