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The sum of three numbers is 52. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?

 Aug 27, 2020
 #1
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System of equations, seriously, it helps.

 

Let the 3 numbers be x, y, and z. We know:

x + y + z = 52

2z = x

x - 8 = y

 

What do we see? Well, we can rewrite everything in terms of x:

x = x (obviously)

z = x/2

y = x - 8

 

x + x - 8 + x/2 = 52

2x - 8 + x/2 = 52

5x - 16 = 104

5x = 120

x = 24

 

Knowing that x = 24, we see:

x = 24

z = 12

y = 32

 

:)

 Aug 28, 2020

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