The sum of the two numbers is 50 and their product is 624. Find out the numbers.Options :23, 2724, 2622, 2818, 32
Question
The sum of the two numbers is 50 and their product is 624. Find out the numbers.
Options :
- 23
- 2724
- 2622
- 2818
- 32
Solution
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.
Similar Questions
The product of two numbers is 120. The sum of the two numbers is 22. What are the two numbers?
The difference of two numbers is 2, and their product is 48. What are the two numbers?
The difference of two numbers is 2,272 and their sum is 9,414. What is smaller of the two numbers?
The product of two numbers is 144, and their sum is 24. What are the two numbers?
Product of two co-prime number is 483. Find their L.C.M. Options 196 121 49 483
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.