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Question
Write six distinct integers whose sum is 7.
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Solution
Let the six distinct integers be 1, 2, –2, 3, –3 and 6.
Now, sum of the above six distinct integers = 1 + 2 + (–2) + 3 + (–3) + 6
We can arrange the numbers, so that the positive integers and negative integers are grouped together.
We have, 1 + 2 + 3 + 6 + (–2) + (–3)
= 12 – 2 – 3
= 12 – 5
= 7
Hence, the required integers are 1, 2, –2, 3, –3 and 6.
Notes
There are infinite combinations exist.
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