SOLUTION: the sum of three numbers is 65. One number is ten more than a second number. It is also twice the third. Find the numbers

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Question 978378: the sum of three numbers is 65. One number is ten more than a second number. It is also twice the third. Find the numbers
Answer by MathLover1(20850) About Me  (Show Source):
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let one number be x, second number y, and third number z
given:
the sum of three numbers is 65: x%2By%2Bz=65
One number is ten more than a second number: x=y%2B10=> y=x-10
It is also twice the third: x=2z=>z=x%2F2
so, we have:
x%2B%28x-10%29%2Bx%2F2=65.........solve for x
x%2Bx-10%2Bx%2F2=65
2x%2Bx%2F2=65%2B10
4x%2F2%2Bx%2F2=75
5x%2F2=75
5x=75%2A2
x=150%2F5
highlight%28x=30%29
find other two numbers:
y=x-10=>y=30-10=>highlight%28y=20%29
z=x%2F2=>z=30%2F2=>highlight%28z=15%29
so, your three numbers are: highlight%2815%29,highlight%2820%29, and highlight%2830%29