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

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) (Show Source): You can put this solution on YOUR website!
Let is the second number, then the first number is
The equation

is the second number
is the first number
Answer by stanbon(75887) (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?
-----
Equations:
x + y = 10
x = (2/3)y
----
Substitute for "x" and solve for "y":
(2/3)y + y = 10
(5/3)y = 10
(1/3)y = 2
y = 6
------
Solve for "x":
x + y = 10
x + 6 = 10
x = 4
---------
Cheers,
Stan H.
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