Question

What is the sum of two number is 28 and their difference is 4 ???

Please help

Answer 1

Write an equation to satisfy the word problem:

`overbrace"the sum of two number"^(x+y)` `overbrace"is"^(=)` `overbrace"28 and their difference"^(x-y)` `overbrace"is 4"^(=4)`

This is a system of linear equations:

`x+y=28`
`x-y=4`

Add to get rid of `y`:

`2x=32`

`x=16`

Plug back in to solve for `y`

`16+y=28`

`y=12`

The answer is `(16,12)`

Answer 2

The numbers are `16 and 12.`

Explanation:

you have to make and solve the system of equations:
`x+y=28 and x-y=4`

You start by adding the two equations together.

The positive and negative `y` terms will cancel leaving you with
`2x=32`

You then solve that equation to get:

`x= 16`

Next you substitute the `16` for `x` in either of the two original equations and solve that to get

`y=12`

Check:

`12+16 = 28" " and" " 16-12 =4`