The sum of the two numbers is 14 and their difference is 6. What are the two numbers?

Solution:

Given the sum of two numbers is 14 and the difference between them is 6.

Let us express the given mathematical statements algebraically.

Let the two numbers be x, y

x + y = 14--- [a]

x - y = 6 --- [b]

Now we get two linear equations in two variables.

By the method of elimination, we solve

⇒ 2x = 20

⇒ x = 10

Put x = 10 in eq[a], we get

⇒ 10 + y = 14

⇒ y = 14 - 10

⇒ y = 4

Therefore, the two numbers are 10, 4

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The sum of the two numbers is 14 and their difference is 6. What are the two numbers?

Summary:

The sum of two numbers is 14 and their difference is 6, then the two numbers are 10, 4