Question

A number is divided by negitive 14 and decreased by 52 the result is negative 94 what is the number?

Answer 1

Let us assume the unknown number to be `x`

A number divided by `-14` `color(white)(xxx` `->` `x/-14`

And decreased by `52` `color(white)(xxxx cx` `->x/-14-52`

And result is `-94` `color(white)(xxxxxxxx)` `color(darkorange)(->x/-14-52=-94`

Now we have the equation: `x/-14-52=-94`

`x/-14-52=-94`

`x/-14=-94+52`

`x/-14=-42`

`x=-42xx-14`

`color(red)(x=588`

As a check:

`=>x/-14-52`

`=>-588/14-52`

`=>-588/14-728/14`

`=>-1316/14`

`=>-94`

`therefore` `color(magenta)("The unknown number is 588."`

~Hope this helps! :)