A number theory problem by A Former Brilliant Member
CRICKET is a famous sport in INDIA. In a ball production factory there are ten ball making machines ,which are numbered from 1 to 10 respectively ,which produce balls of 100 grams each .Out of them one machine produce ball of 99 grams .If 1 ball from first, 2 balls from second and so on are taken and weighed.the reading was 5493 grams .find which number of machine produce faulty balls.
The answer is 7.
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if all the machines made balls of 100 gm each
then there would be 55 balls
and total weight would have been 5500gm
but in problem it is given that it is 5493gm
so to find the machine just subtract original weight with given weight
=5500-5493=7