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

1 Answer
Feb 7, 2016

#61# and #63#

Explanation:

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#.