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Question

find two consecutive positive odd integers whose sum is 76

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Solution

Let the 2 consecutive odd integers be x+1 and x+3
then x+1 +x+3=76
2x +4=76
2x=76 - 4
2x=72
x=72÷2
x=36
therefore
x+1= 36+1=37
and x+3=36+3=39
therefore two consecutive odd integers whose sum is 76 are 37 and 39.
prove 37+39 = 76.

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