Question

If thrice a number diminished by 2, result is 28, find the answer. what is the answer of this problem?

pls helpp

Answer 1

The original number is : `color(blue)(10`

Explanation:

I am assuming that you need to find the original number, say `color(red)(n`, when `color(blue)(2` is subtracted from the result of (3 times n) yields `color(blue)(28`.

We can translate the above sentence into mathematical expression as follows:

`color(blue)((3*n)-2 = 28`

All we have to do now is to solve for `color(blue)(n`.

So, we have

`(3*n)-2 = 28`

Add `color(red)(2` to both sides of the equation.

`(3*n)-2 + color(red)(2) = 28+color(red)(2`

`rArr (3*n)-cancel(2) + color(red)(cancel(2)) = 28+color(red)(2`

`rArr 3*n=30`

Divide both sides of the equation by `color(red)(3`

`rArr (3*n)/color(red)(3)=30/color(red)(3)`

`rArr (cancel 3*n)/color(red)(cancel 3)=30/color(red)(3)`

`rArr n = 10`

Hence, the original number is : `color(blue)(10`