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Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers

Respuesta :

DWRead

Answer:

Step-by-step explanation:

Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.

2x+2y+2z = 108

x+y+z = 54

Let x≤y≤z

x = z/2

y = ¾z

z/2 + 3z/4 + z = 54

2z/4 + 3z/4 + 4z/4 = 54

2z + 3z + 4z = 216

9z = 216

z = 24

x = z/2 = 12

y  = ¾z = 18

The numbers are 24, 36, 48

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