The sum of the two numbers is 50 and their product is 624. Find out the numbers.Options :23, 2724, 2622, 2818, 32

To solve this problem, we can use the formulas for the sum and product of two numbers.

The sum of two numbers is given by: a + b = 50 The product of two numbers is given by: a * b = 624

We can use these two equations to solve for the two numbers.

First, we can rearrange the sum equation to solve for one of the numbers. Let's solve for a:

a = 50 - b

Next, we can substitute this expression for a into the product equation:

(50 - b) * b = 624

This simplifies to:

50b - b^2 = 624

Rearranging terms gives us a quadratic equation:

b^2 - 50b + 624 = 0

We can solve this quadratic equation for its roots using the quadratic formula:

b = [50 ± sqrt((50)^2 - 41624)] / (2*1) b = [50 ± sqrt(2500 - 2496)] / 2 b = [50 ± sqrt(4)] / 2 b = [50 ± 2] / 2 b = 24 or 26

Substituting these values back into the equation a = 50 - b gives:

a = 50 - 24 = 26 or a = 50 - 26 = 24

So, the two numbers are 24 and 26.