Question 277701
Let the 1st integer be F


Then the 2nd and 3rd integers are F + 2 and F + 4, respectively


Sum of 1st and 3rd integers = F + F + 4, or 2F + 4


Therefore, 2F +  4 = 5(F + 2) – 87


2F + 4 = 5F + 10 – 87


2F - 5F = - 4 + 10 – 87


-3F = - 81


F = {{{(-81)/(-3)}}} = 27


Since the 1st integer, or F equals 27, then the 3rd integer is {{{highlight_green(31)}}}(F + 4) = 27 + 4