Twenty-ThreePro Problems > Math > Number and Quantity > Number Theory > Diophantine Equations
x and y are positive integers such that xy + x = 23, Find all possible ordered pairs (x,y).
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Find all positive integers M and N such that M2 + MN = 7.
The square of the difference of two numbers is subtracted from the square of the sum of two numbers. The result is 144.
If both of the numbers are positive integers, find all possible values for the sum of the two numbers.
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