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The sum of 2 consecutive odd numbers is 104. What are the numbers?

User Odin
by
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1 Answer

4 votes

Answer:

51 and 53

Explanation:

If k is any integer then 2k is even number and 2k+1 is odd number.

The next odd number to 2k+1 would be: 2k+1+2=2k+3

the sum is 104 so:

2k+1 + 2k+3 = 104

4k + 4 = 104

4k = 100

k = 25

2k+1 = 2•25+1 = 51

2k+3 = 2•25+3 = 53

Check:

51 + 53 = 104

User James Poulose
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4.2k points