Numbers

For how many values of natural number n, both the numbers 48n + 4 and 27n + 19 are perfect square?
(1) 0
(2) 1
(3) 2
(4) 3
(5) more than 3 

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5 comments

      1. Mayank Arora

        48n+4=a^2
        27n+19=b^2.
        n=(a^2-4)/48 = (b^2-19)/27.
        16b^2-9a^2=268.
        only one pair of (a,b) satisfies the given two equations.

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