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?

Answer 1

Number is
`1(11)/(12)`.

Explanation:

Let the number is a,

`1(3)/(4)` was added to this number, addition will result in,

(a +
`1(3)/(4)`) = a +
`(7)/(4)`

Then the result was multiplied by
`2(2)/(11)` to give the result as 8.

`(a+(7)/(4))\time (2(2)/(11))=8`

`(a+(7)/(4))\time ((24)/(11))=8`

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

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

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

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

a =
`(23)/(12)`

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

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