SOLUTION: One number is nine more than twice another. If their sum is decreased by ten, the result is fourteen. Find the numbers. Smaller value Larger value

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Question 974865: One number is nine more than twice another. If their sum is decreased by ten, the result is fourteen. Find the numbers.
Smaller value
Larger value

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be +x+ and +y+
given:
(1) +y+=+2x+%2B+9+
(2) +x+%2B+y+-+10+=+14+
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(1) +2x+-+y+=+-9+
(2) +x+%2B+y+=+24+
Add the equations
---------------------
+3x+=+15+
+x+=+5+
and
(1) +y+=+2%2A5+%2B+9+
(1) +y+=+10+%2B+9+
(1) +y+=+19+
---------------
smaller: 5
larger: 19