For this case, the first thing we must do is define variables.
We have then:
x: unknown number 1
y: unknown number 2
The difference of both numbers is 124:
The product of both numbers is:
Writing the product based on a variable we have:
Rewriting:
To find the minimum of the function, we must derive:
We equal zero and clear x:
Then, the value of the other number is given by:
Answer:
The searched numbers that meet both conditions are:
smaller number = 62
larger number = -62