Question

The sum of two numbers is 2. If their difference is 20, find the number​

Answer 1

The numbers are -9 and 11.

Step-by-Step Explanation:

Given:

The sum of two numbers is 2 and their difference is 20.

To Find:

The numbers

Finding the value of y:

Let the numbers be x, y

According to the given question

x + y = 2 -----> (1)

x - y = 20 -------> (2)

We have,

x + y = 2

x = 2 - y ----------> (3)

Put the value of x in equation 2

x - y = 20

2 - y - y = 20

2 - 2y = 20

-2y = 18

y = - 9 .

Finding the value of x:

Put the value of y in equation 3.

x = 2 - y

x = 2 - (-9)

x = 11.

Hence, the numbers are -9 and 11.

Answer 2

Given:

The sum of two numbers is 2. If their difference is 20.

To find:

Find the number​s.

Solution:

Let the two numbers be a and b.

From given, we have,

The sum of two numbers is 2.

⇒ a + b = 2 .......(1)

The difference of two numbers is 20.

⇒ a - b = 20  ..........(2)

adding (1) and (2), we get,

2a = 22

∴ a = 11

substituting the value of "a" in (1), we get,

a + b = 2

b = 2 - a

b = 2 - 11

∴ b = -9

Hence, the numbers are -9 and 11.