The sum of the two numbers is 18 and their difference is 4. Find the numbers?

Solution:

Given the sum of two numbers is 18 and their difference is 4

Let the two numbers be x, y

By the given data, we can express them as

x + y = 18 --- [a]

and x - y = 4 --- [b]

Add [a] and [b]

(x + y) + (x - y) = 18 + 4

2x = 22

x = 11

Put x = 11 in [a], we get 11 + y = 18

y = 18 - 11

y = 7

Therefore, the two numbers are 11 and 7

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The sum of two numbers is 18 and their difference is 4. Find the numbers?

Summary:

The sum of two numbers is 18 and their difference is 4, then the numbers are 11, 7