Question 159306
Given two consecutive even integers a and b, we note that b = a + 2.  Therefore, we can write "the greater of two consecutive even integers" as a + 2.  Since a is the smaller integer, then 'six less than twice the smaller' is 2*a - 6.  Therefore we have the equation {{{a+2 = 2*a - 6}}} which simplifies to {{{a = 2*a - 8}}} which further simplifies to {{{ -a = -8}}} which means a = 8.  a is the smaller integer, therefore 8 is your smaller integer and 10 is the consecutive even integer.  Your two even integers are 8 and 10.