Question

Find two numbers whose sum is 24 and whose product is 135

Answer 1

solution-

two Number are 15 & 9

hope it will help you

Answer 2

Answer:

The required two numbers are 9 and 15.

Step-by-step explanation:

Given:-

The sum of the two numbers is 24.

And the product of the two numbers is 135.

To find:-

The required two numbers.

Step 1 of 2

Let the one number be x.

And the other number is y.

Since the sum of the two numbers is 24, i.e.,

x + y = 24 . . . . . (1)

Also,

The product of the two numbers is 135, i.e.,

xy = 135 . . . . . (2)

From (1), we have

x = 24 - y . . . . . (3)

Substitute the value of x in equation (2) as follows:

(24 - y)y = 135 . . . . . (4)

Step 2 of 2

Find the values of x and y.

From (4), we have

24y - y² = 135

y² - 24y + 135 = 0

Using the middle-term splitting method,

y² - 15y - 9y + 135 = 0

y(y - 15) - 9(y - 15) = 0

(y-9)(y - 15) = 0

y = 9, y = 15

Substitute the values y = 9 and y = 15 in equation (3) as follows:

x = 24 - 9 (When y = 9)

  = 15

x = 24 - 15 (When y = 15)

  = 9

Final answer: The required two numbers are 9 and 15.

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