One number is 52 more than twice another. Their product is 52 more than twice their sum. Find the numbers.

Question

whpalmer4 · Answer

one number: $x$
another number: $y$
one number is 52 more than twice another: $x = 52+2y$
their product is 52 more than twice their sum: $x*y = 52+2(x+y)$

plug the first equation into the second equation and solve...

anonymous · Answer

0 & -26
58 &3

whpalmer4 · Answer

well, only one of those pairs of numbers is a solution.  Which one?

anonymous · Answer

No, I have to have both...my online work requires two different sets of answers :/ Making things difficult lol

whpalmer4 · Answer

I'm sure that your online system requires both of the numbers that satisfy the problem.  You gave 4 numbers, 2 of which do NOT satisfy the problem.  

And regardless of what the system is asking for, I'm asking you to identify the only pair of numbers which satisfies this: "One number is 52 more than twice another. Their product is 52 more than twice their sum."