Lionardo Messy, true to his name, sweats a lot. Once after an intense game of football, he came home and took a long, warm bath in his bathtub. He got a call from his mother, who wanted him to travel home immediately. Messy left his home in a hurry and forgot to drain the bathtub. Now incidentally, there was one single mutant bacterium in the bathtub when he got out, and this bacterium multiplies in a way that its numbers double every day. Assuming that Lionardo got back home 24 days later and found his bathtub filled to the brim with bacteria, what day would the bathtub be half full?
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Given : bacterium multiplies in a way that its numbers double every day. Lionardo got back home 24 days later and found his bathtub filled to the brim with bacteria,
To Find : what day would the bathtub be half full?
Solution:
numbers double every day.
Let say on nth day bath tub was half full
Then on (n + 1) day bath tub will be 2 x half
= 2 x 1/2
= 1 full
Bath tub was full on 24 th day
=> n + 1 = 24
=> n = 23
Hence on 23th day bath tub was half full
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Answer:
23rd Day
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