Question

The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?

Larger number: ?
Larger number: ?

Answer 1

Large: 25
Small: 14


i did. this for test practice in class on Friday!

Answer 2

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

Hope this helps!