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 $-6$