When do they meet?

Algebra Level 2

Raj and Ravi go to their friends home every 4th and 6th day respectively. How many times do they meet each other in the first 100 days?

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The answer is 8.

Sravanth C. by Sravanth C. , 21, India

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3 solutions

Sravanth C.
Feb 22, 2015

They meet each other on 12th day as the LCM of 6 and 4 is 12, from then on they meet every 12 days after...

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Vishruth K
Mar 30, 2021

LCM of 4 and 6 is 12, 100 divided by 12 is 8 r4, so they meet 8 times in the first 100 days.

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Sorry, are we sure 8 is the right answer? There must be one first day in which both Raj and Ravi go to their friends. Then they will meet again 12 days later, on the 13th, and then on 25th, ...., 97th day. So I think the correct answer should be 9 (and, in fact, that was my first answer). Bye

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