Question

Write six distinct integers whose sum is 7.

Answer 1

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.

Note: There are infinite combinations exist.