It is known that a and B are non-zero natural numbers, and a + B = 100. What is the maximum and minimum product of a and B?

It is known that a and B are non-zero natural numbers, and a + B = 100. What is the maximum and minimum product of a and B?


50 = 50 × 2500
Minimum: 1 × 99 = 99



Given that a + B are non-zero natural numbers and a + B = 90, what is the maximum possible product of a and B


44×46=2024



AB is two non-zero natural numbers. Given a + B = 100, find the minimum product and maximum product of a and B


The minimum product of a and B: 1 × 99 = 99
If two numbers can be equal, the maximum product: 50 × 50 = 2500
If the two numbers are not equal, it is 49 × 51 = 2499