Question

The greater of two consecutive even integers is six less than twice the smaller. What are the numbers?

Answer 1

8, 10

Explanation:

`n` is the larger number and is even.

The even numbers are consecutive so the smaller number may be defined as `n-2`.

`n = 2(n-2) - 6`
`n=2n - 4 - 6`
`n = 2n - 10`

Subtract `n` from both sides.
`0 = n - 10`
`10 = n`

`10` is the larger number.

The smaller number must be `8` because `8(2) - 6 = 10`.