MathDB

2012-2013 Winter OMO #4

Source:

January 16, 2013

Online Math Open

Problem Statement

For how many ordered pairs of positive integers

(a,b)

with

a,b<1000

is it true that

a

times

b

is equal to

b^2

divided by

a

? For example,

3

times

9

is equal to

9^2

divided by

3

.
Ray Li

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