.Sam visits the library every fourth day and Ron every sixth day. Find out days on which both meet in the library in the month of April.
~Please be quick~
Answers
Answer:
The day both will meet in Library is :- 12th day and 24th day . Step-by-step explanation: They both are meet on the 12th day and as long this continues will always be together at the library every 12th day.
Given : Sam visits the library every fourth day
and Ron every sixth day.
To Find : Days on which both meet in the library in the month of April.
Solution:
Sam visits the library every fourth day
Ron visits the library every sixth day
To Find the days on which they both visit the library together ( meet each other ) , need to find Multiples of LCM of 4 and 6
4 = 2 * 2 = 2²
6 = 2 * 3 = 2¹ × 3¹
LCM - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.
LCM = product of each factor of highest power
LCM = 2² × 3¹ = 12
Multiples of 12
12 , 24 , 36 and so on
There are 30 days in April
Hence on 12th and 24th April , they will meet each other
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