Question

The difference of two numbers is 4. Their sum is 24.what are the numbers?

Write equation

Answer 1

x = 14 and y = 10

Explanation:

TRANSLATING WORDS INTO EQUATIONS:

Let the two numbers be x and y

"The sum of two numbers is 24" translate as x + y = 24

"Their difference is 4" translates as x-y=4

Those two equations make up the system of linear equations

SOLVING BY ELIMINATION:

Adding the two equations, we get

x + y + x - y = 24 + 4

2x = 28

x = 28 / 2

x = 14

substituting that into x + y = 24 we get

14 + y = 24

y = 24 - 14

y = 10

hope it helps :)