Question

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As I understand, your question is: "Take any 5 different numbers from, 2, 6, 10, 14, 18, 22, 26, 30, 34 & 38 such that there sum is 100."

If so, then it is not possible.

Reason:

2 + 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 = 200 ------- (1)

==> 2(1 + 3 + 5 + 7 + 9 + 13 + 15 + 17 + 19) = 200 --------- (2)

So we need to take any 5 from the set of 1st 10 odd natural numbers, whose sum is 50
Hence, we will get 2 x 50 = 100

Sum of any 5 odd numbers will always be odd; while 50 is even.
Hence this is not possible.

Answer 1

I think it your answer is correct Husen1