Math, asked by dhanvir136, 1 year ago

Stamps in an album can be arranged as 12 per page or 18 per page exactly.what is the greatest number of stamps one can have if theyvare fewer yhan 500

Answers

Answered by amitnrw
10

Given :    Stamps in an album can be arranged as 12 per page or 18 per page exactly

To find : greatest number of stamps if they are fewer than 500

Solution:

Stamps in an album can be arranged as 12 per page or 18 per page exactly

=> Stamps can be arranged in multiple of LCM of  12 & 18

12 = 2 * 2 * 3

18 = 2 * 3 * 3

LCM = 2 * 2 * 3 * 3

=> LCM = 36

Stamps are multiple of 36  

500  =  36 * 13  +  32

36 * 13   = 468

greatest number of stamps if they are fewer than 500  is   468  if stamps in an album can be arranged as 12 per page or 18 per page

468 stamps

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