Question

Use the following sum by suitable rearrangement:
2 + 3 + 4 + 5 + 45 + 46 + 47 + 48

Answer 1

Thus sum 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48 has to be evaluated using rearrangement.
We observe that
2 + 48 = 50
3 + 47 = 50
4 + 46 = 50
5 + 45 = 50
Therefore
2 + 3 + 4 + 5 + 45 + 46 + 47 + 48
= (5 + 45) (4 + 46) + (3 + 47) + (2 + 48)
= 50 + 50 + 50 + 50
= 200
Hence, 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48 = 200.