SOLUTION: The sum of three numbers is eighty. The larget number is ten more then twice the smallest number nand the middle number is five less than twice the smallest number. Find all the nu

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Question 823651: The sum of three numbers is eighty. The larget number is ten more then twice the smallest number nand the middle number is five less than twice the smallest number. Find all the numbers
Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three numbers is eighty. The larget number is ten more then twice the smallest number nand the middle number is five less than twice the smallest number. Find all the numbers
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smallest: a
middle:: b
largest: c
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Equations:
a + b + c = 80
c = 2a+10
b = 2a-5
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Substitute and solve for "a":
a + (2a-5) + (2a+10) = 80
5a + 5 = 80
a = 15
b = 2a-5 = 25
c = 2a+10 = 40
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Cheers,
Stan H.
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Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the smallest number be x
second number = 2x+10
Third number = 2x-5
sum =80
x+2x+10+2x-5=80
5x+5=80
5x=75
/5
x=15
olug x in other terms to get 25 & 40
15,25,40