Question

The difference of two numbers is 4 and their product is 60.What are the two numbers?

Answer 1

Given :

• The difference of two numbers = 4
• Product of these two numbers = 60

To Find :

• These two numbers .

Now,

Let the two numbers be x and y

According to the question :

→ x - y = 4 ————————(1)

→ x × y = 60 ————————(2)

From eq (1)

→ x = y + 4

Putting this value of x in eq (2)

→ x × y = 60

→ (y + 4) × y = 60

→ y² + 4y = 60

→ y² + 4y - 60 = 0

By splitting the middle term

→ y² + (10 - 6)y - 60 = 0

→ y² + 10y - 6y - 60 = 0

→ y(y + 10) - 6(y + 10) = 0

→ (y + 10)(y - 6) = 0

y + 10 = 0

→ y = -10

y - 6 = 0

→ y = 6

Putting (y = 6) in eq (1)

x - y = 4

→ x - 6 = 4

→ x = 4 + 6

→ x = 10

Putting (y = -10) in eq (1)

x - y = 4

→ x - (-10) = 4

→ x + 10 = 4

→ x = 4 - 10

→ x = -6

So, the two numbers will be ( 6 and 10 ) or ( -6 and -10 )

Answer 2

$\huge{\blue{Answer}}$

Given,

• The difference of two numbers is 4 .
• Product of those number is 60.

To find:-

• Those two numbers.