consecutive even means
x and x+2 since they are 2 apart
sum of squares is 340
x^2+(x+2)^2=340
expand and add
x^2+x^2+4x+4=340
2x^2+4x+4=340
divide both sides by 2 to make it easier
x^2+2x+2=170
minus 170 bot sides
x^2+2x-168=0
facotr
(x-12)(x+14)=0
set each to zero
x-12=0
add 12
x=12
x+14=0
minus 14
x=-14
but they has to e positive to disregard
x=12
x+2=14
numbers are 12 and 14