asked 83.0k views
2 votes
The sum of 2 consecutive odd numbers is 104. What are the numbers?

asked
User Odin
by
8.3k points

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

answered
User James Poulose
by
7.6k points

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