The difference of two natural numbers is 7 and their product is 450. Find the numbers.

Five times a certain whole number is equal to three less than twice the square of the number. Find the number.

The difference of the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.

There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 154. What are the integers ?