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the ratio of 3 numbers is 2:3:4. If the sum of the numbers is 108, find the numbers. NEED ANSWERS ASAP

Respuesta :

reinhard10158

Step-by-step explanation:

x + y + z = 108

x/y = 2/3

y/z = 3/4

x = 2y/3

z = 4y/3

we use these 2 as substitute in the first equation

2y/3 + y + 4y/3 = 108

2y + 3y + 4y = 324

9y = 324

y = 36

x = 2y/3 = 2×36/3 = 2×12 = 24

z = 4y/3 = 4×36/3 = 4×12 = 48

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