can you help me write an equation for?

Question

Find two consecutive even integers such that three times the smaller equals twice the larger.

Answer 1

n is the smaller integer
n+1 is the next or larger integer

3*n = 2*(n+1)
3n = 2n+2
3n-2n = 2n + 2 - 2n
n = 2
n+1 = 3
So the integers are 2 and 3
Check does 3 *2 = 2 * 3
Yes

Answer 2

3n = 2(n+1)
solves to n (the smaller integer) = 2