Find three consecutive even integers such that the product of the second and third integers is equal to 35

Answer 1

ST = 35

F, S, T are three consecutive integers

F=x-2, S=x, T = x+2

x(x+2) = 35

x^2 +2x -35 = 0

(x+7)(x-5) = 0

x =-7 or 5

there are consecutive odd integers where the product of 2nd & 3rd = 35, but no even integers

the very fact that the product is an odd integer, means the 2nd & 3rd are both odd. odd times odd is odd. Even times even always even.

3, 5, 7 or -9,-7, -5 fit the requirements but there is no solution for consecutive even integers.

You might have miscopied the problem.