perplexus.info :: Numbers : A 2547 Puzzle

A 2547 Puzzle (Posted on 2007-03-29)

a and b are positive integers. Dividing a² + b² by a + b we obtain the quotient as q and the remainder as r.

Determine analytically all possible pairs (a, b) such that q² + r = 2547

See The Solution Submitted by K Sengupta

Rating: 3.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: My start

| Comment 3 of 4 |

(In reply to My start by Jer)

a^2 - 50a + (b - 50b - 47) = 0 which is a quadratic in a.

should be

a^2 - 50a + (b^2 - 50b - 47) = 0 which is a quadratic in a.

Posted by Ady TZIDON on 2007-03-31 10:43:18

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