SOLUTION: The sum of two numbers is 10. The first number is 2/3 of the second number. What are the numbers?

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Question 636385: The sum of two numbers is 10. The first number is 2/3 of the second number. What are the numbers?
Found 2 solutions by Tatiana_Stebko, stanbon:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is the second number, then the first number is %282%2F3%29x
The equation
%282%2F3%29x%2Bx=10
%285%2F3%29x=10
x=10%2A3%2F5
x=6 is the second number
%282%2F3%29%2A6=4 is the first number

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 10. The first number is 2/3 of the second number. What are the numbers?
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Equations:
x + y = 10
x = (2/3)y
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Substitute for "x" and solve for "y":
(2/3)y + y = 10
(5/3)y = 10
(1/3)y = 2
y = 6
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Solve for "x":
x + y = 10
x + 6 = 10
x = 4
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Cheers,
Stan H.
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