SOLUTION: Hi the difference between two numbers is 9 and the smaller number plus twice the larger number is equal to 24 . Find the numbers. my solution was 5 and 14 the textbook said 11

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Question 1082061: Hi
the difference between two numbers is 9 and the smaller number plus twice the larger number is equal to 24 . Find the numbers.
my solution was 5 and 14 the textbook said 11 and 2.
thanks
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the difference between two numbers is 9 and the smaller number plus twice the larger number is equal to 24 . Find the numbers.
my solution was 5 and 14 the textbook said 11 and 2.
thanks
Let the larger number be L

Then the smaller is: L - 9

We then get: L - 9 + 2L = 24

3L = 33

L, or 

That's all....nothing COMPLEX, or CONFUSING, or TIME CONSUMING!