Answer: 17 and 19
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Work Shown:
x = some integer
2x = even integer
2x+1 = odd integer
(2x+1)+2 = 2x+3 = odd integer just after 2x+1
The integers 2x+1 and 2x+3 add to 36
(2x+1)+(2x+3) = 36
2x+2x+1+3 = 36
4x+4 = 36
4x+4-4 = 36-4 ... subtract 4 from both sides
4x = 32
4x/4 = 32/4 .... divide both sides by 4
x = 8
With x = 8, we can say
2x+1 = 2*8+1 = 17 is the first odd integer
2x+3 = 2*8+3 = 19 is the next odd integer
17+19 = 36, so the answer is confirmed
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A non-algebraic way to get the answer is to divide 36 in half to get 18
Then try odd integers around 18, so 19+21 = 40 but thats too high
then maybe try 15+17 = 32, thats too low
17+19 = 36 is right on the money