SOLUTION: the sum of three numbers is 50. one number is ten more then the second number. it is also twice the third number. find the numbers

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Question 534212: the sum of three numbers is 50. one number is ten more then the second number. it is also twice the third number. find the numbers
Answer by Maths68(1474) About Me  (Show Source):
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Let
One number = x
Second number =x-10
Third number = x/2

Sum of three numbers is 50
x+x-10+x/2=50
2x-10+x/2=50
Multiply by 2 both sides
2*(2x-10+x/2)=50*2
4x-20+x=100
5x=100+20
5x=120
x=120/5
x=24

One number = x = 24
Second number =x-10 = 24-10 = 14
Third number = x/2 = 24/2 = 12