Question

The sum of two number is 25 and their product 144 find the number

Answer 1

Hi Sivaranjini............

Here is your answer.................

Let one number = x

and other number = y

according to the question their sum is 25

i.e. x+y=25

x=25-y...............(1)

again their Product is 144

so, xy=144...............(2)

Put the value of x in equation(2)

(25-y)y=144

⇒25y-y²=144

⇒-y²+25y-144=0

⇒y²-25y+144=0 (multiplying -1 to each term)

⇒y²-16y-9y+144=0

⇒y(y-16)-9(y-16)=0

⇒(y-9)(y-16)=0

⇒y-9=0 or y-16=0

⇒y=9 or y=16

now, Put the value of y in (1)

x=25-16=9

x=25-9=16

So numbers are 9 and 16.

Hope you got your answer........

Please mark as brainliest if this answer is useful to U.

Best of luck. regards@DANIEL.........

Answer 2

Given:

The sum of the two numbers is 25 and their product is 144.

To find:

The numbers.

Solution:

Let the first number be x and the second number be y.

So,

according to the question, we have,

the sum of two numbers is 25

So,

$x + y = 25 \: \: (i)$

and,

the product of numbers is 144

So,

$xy = 144 \: \: (ii)$

From (i) we have,

$y = 25 - x$

On putting the value of y in (ii), we have,

$x(25 - x) = 144$

$25x - {x}^{2} = 144$

${x}^{2} - 25x + 144 = 0$

On splitting the middle term, we have,

${x}^{2} - 16x - 9x + 144 = 0$

$x(x - 16) - 9(x - 16) = 0$

$(x - 9)(x - 16) = 0$

$x = 9 \: and \: x = 16$

Now, putting x = 9 in (i), we have,

$y = 16$

On putting x = 16 in (i), we have,

$y = 9$

So, the numbers are 9 and 16.