The sum of two numbers is 27 and their product is 50. Find the numbers.?
2 answers:
Answer:
<u>2, 25</u>
Step-by-step explanation:
Let the numbers be x and y :
Rearrange the first equation so it is equal to one variable :
Substitute the value in the second equation :
- x(27 - x) = 50
- 27x - x² = 50
- x² - 27x + 50 = 0
- (x - 25)(x - 2) = 0
- x = <u>2, 25</u>
Answer:
a + b = 27
=> a = 27 - b
ab = 50
So, (27 - b) x b = 50
27b - b^2 = 50
b^2 - 27b + 50 = 0
Solving, b = 25, 2
Hence,
Case 1: b = 25, a = 2
Case 2, b = 2, a = 25
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im pretty sure thats right
