We can enjoy by playing different mathematical games because of its nature and quality. A proof of 45 – 45 = 45 is given here which is impossible but can be made possible for entertainment.

WE KNOW:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 ……………………….. (i)

IN THE SAME WAY:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 ………………………… (ii)

Now, subtracting (ii) from (i). We have,

987654321 – 123456789 = 864197532 => 8 + 6 + 4 + 1 + 9 + 7 + 5 + 3 + 2 = 45.

**NOTE** : It can be proved just for amusement not in reality.

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