Question

find the sum of 21+22+23+24+25+75+76+77+78+79 with suitable arrangement

Answer 1

21+22+23+24+25+75+76+77+78+79= 500

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Answer 2

Solution: There are pairs that the sum is 100.

21+22+23+24+25+75+76+77+78+79

=(21+79)+(22+78)+...+(25+75)

=100+100+...+100

We can tell there are 5 brackets because between 21 to 25 are 5 numbers.

=100×5

=500

Now the answer is clearly 500.