Question

The sum if 2 consecutive integers is 679?. find the integers.

Answer 1

`339, 340`

Explanation:

Let the Integers be `x` and `(x + 1)` respectively.

So, According to The Problem,

`color(white)(xx)x + (x + 1) = 679`

`rArr 2x + 1 = 679` [Simplified the L.H.S]

`rArr 2x = 678` [Transposed `1` to R.H.S]

`rArr x = 339`

So, The Integers are `339` and `(339 + 1) = 340`.

Answer 2

`339" and "340`

Explanation:

`"let one integer "=n`

`"then a consecutive integer "=n+1`

`rArrn+n+1=679`

`rArr2n+1=679`

`"subtract 1 from both sides"`

`rArr2n=678`

`"divide both sides by 2"`

`rArrn=678/2=339`

`rArrn+1=339+1=340`

`"the 2 consecutive integers are "339" and "340`

Answer 3

`339 and 340`

Explanation:

Let n be any integer, then the next consecutive integer is 1 greater .i.e `n+1`:

Sum is 679

`:.`

`n + n+1=679`

Simplifying:

`2n+1=679`

Subtract 1 from both sides:

`2n=678`

Divide both sides by 2:

`n=678/2=339`

We have:

`n and n+1`

`n=339`

`n+1=340`

Our number are:

`339 and 340`