Question

In a two digits number, product of the number is 18 and sum is 9. find the number.​

Answer 1

Use

Given ,

xy = 18

and

x + y = 18

Use :

(a - b)² = (a + b)² - 4ab

then by elimination method you will get ur ans

Answer 2

Answer:

$\large\boxed{Numbers\:are\:3\:and\:6.}$

Step-by-step explanation:

Let the two numbers be x and y.

✦ Given:-

• x+y=9
• x × y=18

✦ To Find:-

   Values of Both the numbers.

✦ Solution:-

x+y=9

x=9-y---------(1)

xy=18---------(2)

Putting Value of 'x' from equation(1) in equation(2):-

⇒ (9-y)(y)=18

⇒ 9y-y²=18

⇒ y²-9y+18=0

⇒ y²-3y-6y+18=0

⇒ y(y-3)-6(y-3)=0

⇒ (y-3)(y-6)=0

$\implies\boxed{y=3\:,\:6}$

We can take any of the value of y,

⇒ x=9-y

⇒ x=9-6 or x=9-3

$\implies\boxed{x=3\:\:or\:\:6}$