If the sum of 2 whole numbers is 76, their product is at most how much?
1444
37 * 39 = 1,443
1444
To find the maximum product of two whole numbers whose sum is 76, we need to find the numbers that have the largest possible difference. Since their sum is fixed at 76, the larger the difference between the numbers, the larger the product.
Let's assume the two whole numbers are x and y. We know that x + y = 76. To find the largest difference between x and y, we can assume that one number is the maximum possible value while the other is the minimum.
The maximum value of a whole number is infinity, but we should consider a practical range. Let's assume x is the larger number, so we can assign the maximum value to x. One possible maximum value for x is 75. This would make y the minimum value, which is 1 (assuming positive whole numbers).
Now we can calculate the product: x * y = 75 * 1 = 75.
Therefore, the maximum product of two whole numbers whose sum is 76 is 75.