Question 77
Two positive integers having difference $20$ are multiplied with each other; then $23$ is added to the result.
a. What is the smallest possible outcome that ends in $23$? *Give this outcome (and the two corresponding integers with difference $20$) and prove that no smaller outcome is possible.*
b. Is it possible that the result is the square of an integer? *Give an example (and show that it is an example) or prove that this is impossible.*
a. What is the smallest possible outcome that ends in $23$? *Give this outcome (and the two corresponding integers with difference $20$) and prove that no smaller outcome is possible.*
b. Is it possible that the result is the square of an integer? *Give an example (and show that it is an example) or prove that this is impossible.*