find the sum of 21+22+23+24+25+75+76+77+78+79 with suitable arrangement
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21+22+23+24+25+75+76+77+78+79= 500
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Answered by
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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.
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