The sum of 2 consecutive odd integers is 92. Find the numbers.

Question

If x represents the smaller integer, then the larger integer is

 

 

A: x + 1

 

B: x + 2

 

 

C:2x + 1

Answer 1

Odd consecutive integers for example are 1, 3, 5, 7, 9, etc.

 

First, lets find 2 consecutive integers that give a sum of 12. 

 

1 and 3      no

3 and 5      no

5 and 7      yes

 

5 + 7 = 12

 

 

Now we find 2 consecutive odd integers in which one integer has a one's digit of 5 and the other integer has a ones digit of 7.  This means that the sum of these integers will have a ones digit of 2.  This is because the two integers need to have a sum of 92.

 

Some pairs to try out are

 

25 and 27

35 and 37

45 and 47

 

45 and 47 work.  This is because

 

45 + 47 = 92

 

 

If the smaller integer is x=45 , then the larger integer is x+2 = 45+2=47

 

Thus, the answer is B.

 

 

Answer 2

Answer is B