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Two integers are in the ratio of 1 to 4. If 6 is added to the smaller
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29 Jan 2021, 09:41
29 Jan 2021, 09:41
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Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
A. 4
B. 6
C. 12
D. 24
E. 30
Kudos for the right answer and explanation
A. 4
B. 6
C. 12
D. 24
E. 30
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Two integers are in the ratio of 1 to 4. If 6 is added to the smaller
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29 Jan 2021, 10:18
29 Jan 2021, 10:18
1
Carcass wrote:
Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer.
A. 4
B. 6
C. 12
D. 24
E. 30
Kudos for the right answer and explanation
A. 4
B. 6
C. 12
D. 24
E. 30
Kudos for the right answer and explanation
One option is to TEST the answer choices.
A) the larger number is 4
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 1
If 6 is added to the smaller number, the ratio becomes 1 to 2
If we add 6 to the smaller number (1), we get 7.
So, the new ratio is 7 to 4.
No good. We want a resulting ratio of 1 to 2
ELIMINATE A
B) the larger number is 6
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 1.5
If 6 is added to the smaller number, the ratio becomes 1 to 2
If we add 6 to the smaller number (1.5), we get 7.5
So, the new ratio is 7.5 to 6.
No good. We want a resulting ratio of 1 to 2
ELIMINATE B
.
.
.
.
D) the larger number is 24
Given: the two integers are in the ratio of 1 to 4
So, the smaller number must be 6
If 6 is added to the smaller number, the ratio becomes 1 to 2
If we add 6 to the smaller number (6), we get 12
So, the new ratio is 12 to 24. This is the same as the ratio of 1 to 2
PERFECT!!!
Answer:
Show: ::
D
Re: Two integers are in the ratio of 1 to 4. If 6 is added to the smaller
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30 Jan 2021, 20:59
30 Jan 2021, 20:59
1
Here is my approach for this question.
We are told that 2 integers in a ratio of 1/4. ==> x/y=1/4. Assuming that x is the smaller number and y is the larger one.
In addition, we are told that if we add 6 to the smaller number which is x, then the ratio will be 1/2.
x+6/y=1/2.
So from the above equation, 4x=y and from the second equation y= 2x +12
Now we can work from here, 4x=2x+12 ==> x=6 ==> 6/y=1/4 y=24
Answer is D
We are told that 2 integers in a ratio of 1/4. ==> x/y=1/4. Assuming that x is the smaller number and y is the larger one.
In addition, we are told that if we add 6 to the smaller number which is x, then the ratio will be 1/2.
x+6/y=1/2.
So from the above equation, 4x=y and from the second equation y= 2x +12
Now we can work from here, 4x=2x+12 ==> x=6 ==> 6/y=1/4 y=24
Answer is D
