The sum of two odd numbers MUST be even. So there is no answer to the question.
There have to be an even number of odd numbers in each group, and each group must have more than two odd numbers (since 19 + 17 is only 36); thus there must be four in one group and six in the other. There are many ways to get four odd numbers to add up to to 50; for example, you could take 1, 13, 17 and 19. The remaining six odd numbers will then also add up to 50.
26
You cannot do this, because you're taking odd numbers: if you add two odd numbers together, you will get an even number. Take the odd numbers in pairs, so you'll have 3 pairs plus an extra odd number. The 3 pairs make 3 even numbers. You can add up any number of even numbers and get an even number, so you will have an even + odd, which is odd. 30 is an even number, but your result will be odd, no matter what 7 odd numbers you choose.
If the sum of two numbers is even, the two numbers are either both even or both odd. A few examples:2 + 4 = 6 (even + even = even)2 + 3 = 5 (even + odd = odd)5 + 2 = 7 (odd + even = odd)7+13 = 20 (odd + odd = even)
The two square numbers which add up to 13 are 9 (which is equal to 3 squared), and 4 (which is equal to 2 squared).
None. Because: Two or more even numbers can never add up to produce an odd number.
An odd number of odd numbers can't add up to an even number.
The numbers are 11, 13 and 15.
You can add any one of 13, 15, 17, 19 and 21.
There have to be an even number of odd numbers in each group, and each group must have more than two odd numbers (since 19 + 17 is only 36); thus there must be four in one group and six in the other. There are many ways to get four odd numbers to add up to to 50; for example, you could take 1, 13, 17 and 19. The remaining six odd numbers will then also add up to 50.
26
You cannot do this, because you're taking odd numbers: if you add two odd numbers together, you will get an even number. Take the odd numbers in pairs, so you'll have 3 pairs plus an extra odd number. The 3 pairs make 3 even numbers. You can add up any number of even numbers and get an even number, so you will have an even + odd, which is odd. 30 is an even number, but your result will be odd, no matter what 7 odd numbers you choose.
The numbers are 13 and 15 (13 x 15 = 195).
If the sum of two numbers is even, the two numbers are either both even or both odd. A few examples:2 + 4 = 6 (even + even = even)2 + 3 = 5 (even + odd = odd)5 + 2 = 7 (odd + even = odd)7+13 = 20 (odd + odd = even)
15 and 13
The sum of the first 13 odd numbers is 169.
These two odd numbers are 39 and 65. Both are between 25 and 75, and their GCF is 13.