SOLUTION: translate to a system of equations and solve The sum of two numbers is 27. One half or the first number plus one third of the second number is 11. Find the numbers

Question 103874: translate to a system of equations and solve
The sum of two numbers is 27. One half or the first number plus one third of the second number is 11. Find the numbers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 27. One half of the first number plus one third of the second number is 11. Find the numbers
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Let the numbers be x and y:
EQUATIONS:
1st: x + y = 27
2nd:(1/2)x + (1/3)y = 11
-----------------
Rewrite:
Multiply thru 2nd by 6 and multiply 1st by 2 to get:
1st: 2x + 2y = 54
3rd: 3x + 2y = 66
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Subtract 1st from 3rd to get:
x = 12
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substitute into x+y = 27 to solve for y:
12 + y = 27
y = 15
==================
Cheers,
Stan H.

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