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The sum of two consecutive odd integers is 28. What are the integers?

Which let statement(s) would you use?

ALet x = the integers
BLet x = 1st integer. Let x + 2 = 2nd integer.
CLet x = 1st integer. Let x + 1 = 2nd integer.

Verified Answer :

syed514

The correct option is B): "Let x = 1st integer. Let x + 2 = 2nd integer."
Given that "The sum of two consecutive odd integers is 28."

 
Now the difference between two odd numbers is 2.
So this means that one odd number has to be greater than the other by 2.


Let the smaller number be 'X' therefore the bigger number will be 'x+2'
thus

x + (x+2) = 28

 
therefore,

x + x + 2 = 28

now we subtract "2" from both the sides
therefore,

2x = 26

now dividing throughout by 2 we get:

x = 13

therefore,
x + 2 = 13+2

                                    = 15

 
therefore, the numbers are

13 AND 15

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