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2 years ago

The sum of two numbers is 27 and their product is 50. Find the numbers.?

Mathematics

2 answers:

alexgriva [62]2 years ago

8 0

Answer:

2, 25

Step-by-step explanation:

Let the numbers be x and y :

x + y = 27
xy = 50

Rearrange the first equation so it is equal to one variable :

y = 27 - x

Substitute the value in the second equation :

x(27 - x) = 50
27x - x² = 50
x² - 27x + 50 = 0
(x - 25)(x - 2) = 0
x = 2, 25

san4es73 [151]2 years ago

5 0

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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3 years ago

The sum of two numbers is 27 and their product is 50. Find the numbers.?​

The sum of two numbers is 27 and their product is 50. Find the numbers.?