in a hall there are 200 chairs the chairs number of prathamesh is divisible by9and 7 what would be the chair no of prathamesh
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The chairs are labeled from 1 to 200
The chair number that lies between 1 and 200 and is divisible by 7 and 9 is what we want.
In other words we are looking for the possible LCMs of 7 and 9 between 1 and 200.
They include :
63, 126,189
The possible sit numbers are :
63, 126 and 189
Answered by
32
Solution :-
Total number of chairs = 200
Chair number on which Prathamesh is sitting, is divisible by 7 and 9 both.
So, we have to find the LCM of 7 and 9
LCM of 7 and 9
7 = 1 × 7
9 = 3 × 3
LCM = 3 × 3 × 7
= 63
So, LCM of 7 and 9 is 63
Now, the chair number of Prathamesh on which he is sitting is the multiple of 63.
Multiple of 63 from 1 and 200 (Both inclusive) are as follows.
63, 126 and 189
So, chair number of Prathamesh on which he is sitting is 63 or 126 or 189
Answer.
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