The sum of two numbers is 28 and their difference is 4. What are the two numbers?

Solution:

Given sum of two numbers is 28 and difference of them is 4

Let the two numbers be x, y

So, x + y = 28 --- (a)

x - y = 4 --- (b)

Let us solve this system of linear equations.

Add (a) and (b), we get

(x + y) + (x - y) = 28 + 4

2x = 32

x = 16

Put x = 16 in either (a) or (b)

16 - y = 4

y = 16 - 4

y = 12

Therefore, the two numbers are 16, 12

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The sum of two numbers is 28 and their difference is 4. What are the two numbers?

Summary:

The sum of two numbers is 28 and their difference is 4, the two numbers are 16, 12.