How do you find the two integers if the sum of two consecutive odd integers is 40?

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Answer 1 · 2015-03-25T18:20:08

Two consecutive odd numbers can be written:

#n_1=2k-1#
#n_2=2k+1#

Than:

#2k-1+2k+1=40rArr4k=40rArrk=10#,

So:

#n_1=2k-1=19#
#n_2=2k+1=21#.

Answer 2 · 2015-03-25T18:22:00

If the smaller odd number is #n#, then the next consecutive odd number is #n+2#

#(n) + (n+2) = 40#

#rarr 2n + 2 = 40#

#rarr 2n = 38#

#rarr n = 19#

So the two integers are #19# and #21#