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10 Jun 2016, 01:22
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (01:24) correct
24%
(01:31)
wrong
based on 271
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 4
B. 6
C. 12
D. 24
E. 30
15 Jun 2016, 08:05
Kudos
Bookmarks
Bunuel
Another 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:
The following video contains the skills needed to answer this question
General Discussion
10 Jun 2016, 01:48
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Bunuel
Assume the integers to be x and y, where x < y
Given x/y = 1/4 - (i) or y = 4x
and x+6 / y = 1/2 - (ii) or y = 2x + 12
Substituting the value of y from (i), 4x = 2x + 12
x = 6
Hence y = 4*6 = 24
Correct Option: D
