The two numbers are 3 and 21.
Given that,
- The sum and the products of two numbers is 24 and 63.
- Let us assume the one number be x and the other number be y.
Based on the above information, the calculation is as follows:
x + y = 24
x = 24 - y
\(x \times y = 63\)
Now put the x value in the above equation
\((24 -y) \times y = 63\)
\(24y - y^2 = 63\)
\(y^2 - 24y - 63 = 0\)
\(y^2 - 21y - 3y - 63 = 0\)
y(y - 21) -3(y - 21)
It can be 3 and 21
Therefore the two numbers is 3 and 21
Learn more: brainly.com/question/6201432