Question

The sum of three numbers is 54 . The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?

first number:
second number:
third number:

Answer 1

First number: 6

Second number: 16

Third number: 32

Explanation:

x + y + z = 54

z = 2y

y = x + 10

Now you can substitute y = x + 10 into z = 2y

The equation becomes z = 2x + 20

Now plug it into the main equation.

x + x + 10 + 2x + 20 = 54

4x + 30 = 54

4x = 24

x = 6

y = 16

z = 32