Question

Four consecutive even integers are such that the sum of the second and fourth is 76. What is the sum of the first and third integers?

Answer 1

Answer:

72

Step-by-step explanation:

Consecutive even integers have a difference of 2 between them

let n be the first integer, then

n + 2, n + 4, n + 6 are the second, third and fourth, then

n + 2 + n + 6 = 76 ( sum of second and fourth )

2n + 8 = 76 ( subtract 8 from both sides )

2n = 68 ( divide both sides by 2 )

n = 34

Thus the 4 even integers are

34, 36, 38, 40

sum of first and third = 34 + 38 = 72