Question

The sum of the second and fourth of four consecutive integers is 110

Answer 1

The integers: 53, 54, 55, 56

Explanation:

Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:

x, x+1, x+2, x+3

the sum of the second and fourth: x+1 + x+3 = 2x+4

so: 2x + 4 = 110 ⇒ 2x = 106 ⇒ x = 53

So the integers we are looking for:

53, 54, 55, 56