Question

Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers? It's participation so I just have to have an answer, it doesn't have to be right. Read comments for solution.

Answer 1

Let

n-------> the lesser even number

n+2----> the greater even number

we know that

`3(n+2)=(n-10)`

Solve for n

`3n+6=n-10`

Combine like terms

`3n-n=-10-6`

`2n=-16`

`n=-8`

so

`n=-8\\n+2=-8+2=-6`

therefore

the answer is

the lesser even number is
`-8`

the greater even number is
`-6`