Question

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

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Answer 1

2, 25

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

Answer 2

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