The least common multiple that is divisible by both a and b is the smallest positive integer. The number of tables they both can build together in a day is 10 tables.
What is LCM?
The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Terry can build a desk in 2 days, whereas Ray can build a desk in 3 days.
Therefore, the number of tables they can build in a day can be written as,
Number of table made by Terry = 1 table/2 days = 1/2 table per day
Number of table made by Ray = 1 table / days = 1/3 table per day
Number of tables made by Terry and Ray = 1/2 + 1/3 = 5/6 table per day
Now, the number of tables they both can build together in a day is,
Number of tables = 12 ×(5/6) = 10 tables
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