Two numbers are consecutive integers. Six times the smaller integer equals three times the greater integer. Find the integers

The integers are 1 and 2.

Explanation:

Use "x" to represent the smaller integer and "x+1" to represent the larger integer. The whole equation would be 6x=3 (x+1). Here's how to solve it:

6x=3 (x+1)

6x=3x+3

3x=3

x=1

The smaller integer value is solved. Plug that value into "x+1" to get the larger integer, which will be 2.