Wednesday 28 November, 2007

Once Again, the Same Puzzle

Find the number of integral solutions to the following equation.
1/x + 1/y = 1/12
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1 comment:

"Sajal" said...

13 solutions. The equation may be written as (x -12)(y-12) = 144. Now any
decomposition of the RHS into two factors results in a solution of the equation.
For example 144 = 8*18, thus x-12 = 8 and y-12 =18 gives x=20 and y=30. In all,
there are 13 ways to decompose 144 into product of factors.

7 January 2008 at 5:42 pm

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