Question

Q The sum of two
two number is27
and their Product is 50 .Find
the
number.​

Answer 1

Answer:

The two numbers are 25 and 2

Step-by-step explanation:

Given :

The sum of two numbers is 27 and their product is 50

To find :

the numbers

Solution :

Let the two numbers be x and y

Their sum = 27

x + y = 27

x = (27 - y)

Their product = 50

(x) (y) = 50

(27 - y) (y) = 50

27y - y² = 50

y² - 27y + 50 = 0

Solving the quadratic equation,

y² - 25y - 2y + 50 = 0

y(y - 25) - 2(y - 25) = 0

 (y - 25) (y - 2) = 0

• y - 25 = 0 ; y = +25
• y - 2= 0 ; y = +2

Therefore, the two numbers are 25 and 2

Verification :

• Their sum = 27

25 + 2 = 27

  27 = 27

 LHS = RHS

• Their product = 50

 25 × 2 = 50

 50 = 50

LHS = RHS

Hence verified

Answer 2

Let the two numbers be a and b

a+b = 27

a=27-b ...eq 1

a×b = 50

a=50÷b ...eq 2

.'. By equating equation 1 and 2

=> 27-b = 50÷b

=>27×2 - b^2 =50

=>54 -50 =b^2

=>4=b^2

=>b=2

..By putting the value of b in equation 1 we get,

a=27-2

a=25

.

ANSWER:- a=25

b=2