Question

A positive integer is 1010 more than 2727 times another. their product is 1211712117. find the two integers.

Answer 1

1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0

Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.