Question

The sum of two number is 27 and their product is 50 Find the number

Answer 1

the numbers are 25 and 2...25 +2= 27....25*2= 50..hope it helps you

Answer 2

Given - Sum of two numbers : 27

Product of numbers : 50

To find - Two numbers

Solution - Let the two numbers be x and y. So, the mathematical expression representing sum of two numbers will be-

x + y = 27 Equation 1

Mathematical expression representing the product of two numbers is - x*y = 50

y = 50/x Equation 2

Keeping value of y from Equation 2 in Equation 1.

x + (50/x) = 27

x² + 50 = 27x

x² - 27x + 50 = 0

Solving the equation to find value of x.

x² - 25x - 2x + 50 = 0

x (x - 25) -2 (x - 25) = 0

So, values of x will be 2 and 25.

Now, taking value of x as 2 and keeping in Equation 1

2 + y = 27

y = 27 - 2

y = 25

If taking value of x as 25 and keeping in Equation 1

25 + y = 27

y = 27 - 25

y = 2

So, value of two numbers are 2 and 25.