Question

Question 4 (5 points)

The sum of two consecutive odd integers is 56.
What is the smaller number?

A.25
B.27
C.29
D.31

Answer 1

Let the two consecutive integers be x and x+2

:.,

x+x+2 = 56

2x = 54

x = 27.

Therefore the smaller no is 24

Answer 2

B

Explanation:

note there is a difference of 2 between consecutive odd integers.

let the 2 integers be n and n + 2, then

n + n + 2 = 56, that is

2n + 2 = 56 ( subtract 2 from both sides )

2n = 54 ( divide both sides by 2 )

n = 27

Thus the smaller integer is 27 → B

The larger integer is n + 2 = 27 + 2 = 29