Question

the product of the two numbers is 36 if their sum is 15 then find the number​

Answer 1

Answer:

Step-by-step explanation:

x×y=36

x+y=15

x=15-y

15-y×y=36

15y-y^2=36

y^2-15y+36=0

y^2-12y-3y+36=0

y(y-12)-3(y-12)=0

y-3,y-12

y=3,12.

if y=3

x=12

if y=12

x=3.

Answer 2

Step-by-step explanation:

Let the two number be x and y

Given that

$\sf\implies$ Product of two no. = 36

xy = 36 ---->(1)eq.

$\sf\implies$ sum of the no. = 15

x + y = 15 --------->(2)eq.

Then according to questions :-

using formula

$\huge\boxed{{(x - y)}^{2} = {(x + y)}^{2} - 4xy}$

putting the value of x and y

${(x - y)}^{2} = {15}^{2} - 4 × 36 \\ \\ {(x - y)}^{2} = 225 - 144 \\ \\ {( x - y)}^{2} = 81 \\ \\ x - y = \sqrt{81} \\ \\ x - y = 9 ------>(3)eq. \\ \\ subtracted\: (3)eq. \: from \: (2)eq. \\ \\x + y - (x - y) = 15 - 9 \\ \\ 2y = 6 \\ \\ y = \frac{6}{2} \\ \\ y = 3\\ \\ putting \: the \: value \: y \: on \: (2)eq. \\ \\ x + y = 15 \\ \\ x + 3 = 15 \\ \\ x = 15 - 3 \\ \\ x = 12$

$\huge\boxed{x = 12 \: y = 3 }$