Let the cosecutive numbers be like this :
2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5
Odd , Even , Odd , Even , Odd
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So we have :
(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39
6n + 9 = 4n + 6 + 39
6n + 9 = 4n + 45
Subtract both sides 9
6n + 9 - 9 = 4n + 45 - 9
6n + 0 = 4n + 36
6n = 4n + 36
Subtract both sides 4n
6n - 4n = 4n - 4n + 36
2n = 0 + 36
2n = 36
Divide both sides by 2
2n ÷ 2 = 36 ÷ 2
n = 18
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So the numbers are :
2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5
36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5
37 , 38 , 39 , 40 , 41
As u can see the Odd numbers are :
37 , 39 , 41
And we're done ...
