SOLUTION: The second of two numbers is one more than twice the first. The sum is 25. Find the numbers and show your work.

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Question 664055: The second of two numbers is one more than twice the first. The sum is 25. Find the numbers and show your work.
Answer by ReadingBoosters(3246) About Me  (Show Source):
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Set the variables
x = one number
y = other number
...
Given
y = 2x+1
x+y=25
...
Subtitute the first equation into the second
x + 2x+1 = 25
3x +1 =25
Isolate x
3x = 25-1
3x = 24
Divide both sides by 3
x = 8
y = 2(8)+1 = 17
...
The two numbers are 8 and 17
........................
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