Question

The sum of two numbers is 12 and their product is 27.

Answer 1

Answer:

☆ ANSWER ☆

LET ONE NUMBER BE X AND OTHER BE Y .

➡ ACCORDING TO CONDITIONS

X + Y =12

X = 12 - Y -------(1)

XY = 27 --------(2)

SUBSTITUTING EQ (1) IN EQ(2)

(12 - Y) Y = 27

12Y - Y^2 = 27

-Y^2 + 12Y - 27 =0

Y^2 - 12Y + 27 =0

Y^2 - 9Y -3Y + 27 =0

Y (Y -9) - 3 (Y - 9) =0

(Y-9)(Y - 3) = 0

THEREFORE ,

Y = 9 AND Y = 3

CASE 1

Y = 9

REPLACING Y=9 IN EQ (1)

X + 9=12

X = 3

CASE 2

Y = 3

REPLACING Y = 3 IN EQ (1)

X + 3 = 12

X = 9

HOPE IT HELP

IN CASE 1

X= 3✔

Y= 9✔

IN CASE 2

X = 9✔✔

Y = 3✔✔

Answer 2

Answer:

9 and 3

Step-by-step explanation: