The sum of two consecutive odd integers is 124, what are the integers?

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Answer 1 · 2016-02-07T17:04:23

#61# and #63#

An odd integer can be written as:
#(2n+1)#
If the odd integers are consecutive, then the next odd integer will be:
#(2(n+1)+1) = (2n+3)#

Given that the sum of these integers comes to #124# we can write an equation and then solve for #n#:

#(2n+1) + (2n+3)=124#
#4n+4 = 124#
#4n = 120#
#-> n = 30#.

That would mean that our odd integers are:

#2(30) +1# =61
and #2(30)+3 = 63

And of course #61+63=124#.