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The sum of two integers is 27. The larger integer is 25% gre
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17 Mar 2018, 07:22
17 Mar 2018, 07:22
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90% (01:20) correct
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The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers?
A. 3
B. 6
C. 9
D. 12
E. 15
A. 3
B. 6
C. 9
D. 12
E. 15
Drill 2
Question: 2
Page: 497
Question: 2
Page: 497
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The sum of two integers is 27. The larger integer is 25% gre
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09 Jan 2021, 07:18
09 Jan 2021, 07:18
3
sandy wrote:
The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers?
A. 3
B. 6
C. 9
D. 12
E. 15
A. 3
B. 6
C. 9
D. 12
E. 15
Drill 2
Question: 2
Page: 497
Question: 2
Page: 497
We can also solve this question using just one variable...
The larger integer is 25% greater than the smaller integer.
Let x = the smaller integer.
So, 1.25x = the larger integer
The sum of two integers is 27.
We can write: x + 1.25x = 27
Simplify: 2.25x = 27
Solve: x = 27/2.25 = 12
So the smaller number = 12
Since 1.25x = the larger integer, we can substitute to get: 1.25(12) = 15 = the larger integer
What is the positive difference between the two integers?
15 - 12 = 3
Answer: A
General Discussion
Re: The sum of two integers is 27. The larger integer is 25% gre
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18 Mar 2018, 06:50
18 Mar 2018, 06:50
Expert Reply
Explanation
Use the information in the problem to write the equations x + y = 27 and \(\frac{x}{4}\)+ x=y.
You can combine these two equations to say that \(\frac{x}{4}\) =x+x=27.
When you solve this new equation you find that x = 12.
You can then go back to your first equation and find that y = 15. The positive difference between 15 and 12 is 3, so select choice (A).
Use the information in the problem to write the equations x + y = 27 and \(\frac{x}{4}\)+ x=y.
You can combine these two equations to say that \(\frac{x}{4}\) =x+x=27.
When you solve this new equation you find that x = 12.
You can then go back to your first equation and find that y = 15. The positive difference between 15 and 12 is 3, so select choice (A).
