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
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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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