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need some help with my homework... the sum of 3 numbers is 14. the largest is 4 times the smallest. the sum of the smallest and twice the largest is 18. what are the 3 numbers?

Guest May 7, 2017

Best Answer 

 #1
avatar+4786 
+4

s = smallest

m = middle

b = biggest

 

We can make these equations from the info given in the question:

s + m + b = 14

b = 4s

s + 2b = 18

 

Replace b with 4s in the last equation and solve for s.

s + 2(4s) = 18

s + 8s = 18

9s = 18

s = 2

 

Replace s with 2 in the second equation and solve for b.

b = 4(2)

b = 8

 

Replace s and b with 2 and 8 respectively in the first equation and solve for m.

2 + m + 8 = 14

m + 10 = 14

m = 4

hectictar  May 7, 2017
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2+0 Answers

 #1
avatar+4786 
+4
Best Answer

s = smallest

m = middle

b = biggest

 

We can make these equations from the info given in the question:

s + m + b = 14

b = 4s

s + 2b = 18

 

Replace b with 4s in the last equation and solve for s.

s + 2(4s) = 18

s + 8s = 18

9s = 18

s = 2

 

Replace s with 2 in the second equation and solve for b.

b = 4(2)

b = 8

 

Replace s and b with 2 and 8 respectively in the first equation and solve for m.

2 + m + 8 = 14

m + 10 = 14

m = 4

hectictar  May 7, 2017
 #2
avatar
+1

thanks!

Guest May 7, 2017

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