In a hall there are 200 chairs. The chair number of Prathmesh is divisible by 9 and 7. What would be the chair number of Prathmesh ?
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as it is divisible by 9 and 7 both so it must include their multiples.
so his chair no. could be 63,126 or 189
so his chair no. could be 63,126 or 189
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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
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