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several sevenths of stamps


BMAD    62

I have a stamp collection. It consists of three books. Two tenths of my stamps are in the first book, several sevenths in the second book, and there are 303 stamps in the third book. How many stamps do I own?

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Barcallica    2


care to explain your logic?

Let x be the page number. Then 2x/10+xa/7+303=x ---> x*(28-5a)=10605. On the other hand 10605=3*5*7*101 also x>303 and a<7. So 28-5a should be 3,5,7,15 or 21. Since a is natural a can only be 5 and x=3535

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