Question

Question #0af56

Answer 1

`30`

Explanation:

These questions always stumped me in math class, until I stayed later one day and my teacher gave me the stunningly simple yet unobvious solution:

Three consecutive numbers will always be one apart, right?

So we can write their sums in terms of `x` as:

`(x-1)+x+(x+1)`

If you simplify this, you get their sums to be simply:

`3x`

This makes sense when you realize that the higher and lower numbers average to be equal to the middle term, so you really have three of the middle term.

Knowing this, we can divide your sum (`93`) by three to get what the middle number would be:

`93/3=y`
`31=y`

Knowing `31` is the middle term, and that the lowest term will be one below the middle term, we can deduce that the lowest term will be `30`.