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Lina20 [59]
2 years ago
4

I have three numbers. The biggest one is twice the middle one, and the biggest one plus the middle one is four times the smalles

t one. The smallest one plus the middle one is two less than the biggest one. What are the numbers? ...?

Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0
A= 16; B= 8; C= 6

A = 2B
4C = 2B + B = 3B
C = 3/4B

B + C = A-2
B + 3/4B = 2B - 2
B = 8
nexus9112 [7]2 years ago
7 0

Let

x------> the biggest number

y------> the middle number

z------> the smallest number

we know that

x=2y -------> equation 1

x+y=4z -------> equation 2

z+y=x-2 -------> equation 3

substitute equation 1 in equation 2 and equation 3

[2y]+y=4z ------> 3y=4z ------> equation 4

z+y=[2y]-2 ----> z+2=y ------> equation 5

using a graph tool-----> to resolve the system of equations

see the attached figure

the solution is the point (6,8)

z=6\\y=8

<u>Find the value of x</u>

x=2y

x=2*8=16

therefore

<u>the answer is</u>

the biggest number is 16

the the middle number is 8

the smallest number is 6

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