Now, the integers are consecutive, one right after/before the next one.
so.. hmmm let's say our first one is "a".
if the first integer is "a", then the next one will be "a+1", one hop over.
and the last one will then be, another hop over, "(a+1)+1", or "a+2".
now, we know they add to 267, ok
![\bf a+(a+1)+(a+2)=267\implies a+a+1+a+2=267 \\\\\\ 3a=267-3\implies 3a=264\implies a=\cfrac{264}{3}\implies a=88](https://tex.z-dn.net/?f=%5Cbf%20a%2B%28a%2B1%29%2B%28a%2B2%29%3D267%5Cimplies%20a%2Ba%2B1%2Ba%2B2%3D267%0A%5C%5C%5C%5C%5C%5C%0A3a%3D267-3%5Cimplies%203a%3D264%5Cimplies%20a%3D%5Ccfrac%7B264%7D%7B3%7D%5Cimplies%20a%3D88)
and surely you'd know what the others are.