The sum of two numbers is 30. Their difference is 6. What are the numbers?

Solution:

Consider x and y as the numbers

It is given that

Sum of two numbers = 30

Difference = 6

We can write it as

x + y = 30

x - y = 6

By adding both the equations

⇒ 2x = 36

Dividing both sides by 2

⇒ x = 18

Substituting the value of x in the equation

⇒ x + y = 30

⇒ 18 + y = 30

⇒ y = 30 - 18

⇒ y = 12

Therefore, the numbers are x = 18 and y = 12.

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The sum of two numbers is 30. Their difference is 6. What are the numbers?

Summary:

The sum of two numbers is 30. Their difference is 6. The numbers are x = 18 and y = 12.