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Question 1121485: The sum of two mixed numbers is 6. what might the two mixed numbers be? show as many different solutions as you can. Explain your strategy.
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617)   (Show Source):
Answer by ikleyn(52786)  (Show Source):
You can put this solution on YOUR website! .
If one mixed number is "x", then the other mixed number is 6 - x.
In this way, taking any mixed number as "x", you obtain the other mixed number 6-x so that their sum is 6.
There are infinitely many solutions.
For example, these pairs (5,1), (4,2), (  , ), (7,-1), (-2,8), and so on . . .
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
There are an infinite number of solutions; so I can't "show as many different solutions as I can".
A strategy for finding pairs of mixed numbers whose sum is 6 might be
3+n and 3-n
where n is any real number that is not an integer.
A few examples....
n=1/2 --> 3 1/2 and 2 1/2
n=3/7 --> 3 3/7 and 2 4/7
n=1 2/11 --> 4 2/11 and 1 9/11
n=5 2/5 --> 8 2/5 and -2 2/5
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