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01 May 2025, 09:53
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
77% (02:04) correct
23%
(01:50)
wrong
based on 44
sessions
History
Date
Time
Result
Not Attempted Yet
If Sam is twice as old as Ryan, by how many years is Ryan older than Tina?
(1) Four years ago, Sam was twice as old as Tina is now.
(2) After four years, Sam will be twice as old as Tina.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) Four years ago, Sam was twice as old as Tina is now.
(2) After four years, Sam will be twice as old as Tina.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
11 May 2025, 02:45
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Official Solution:
If Sam is twice as old as Ryan, by how many years is Ryan older than Tina?
From the above, we are given that S = 2R and are asked to find the value of R − T.
(1) Four years ago, Sam was twice as old as Tina is now.
This implies that S − 4 = 2T. Substituting S = 2R gives 2R − 4 = 2T. Rearranging, we get 2R − 2T = 4, which simplifies to R − T = 2. Sufficient.
(2) After four years, Sam will be twice as old as Tina.
This implies that S + 4 = 2(T + 4). Substituting S = 2R gives 2R + 4 = 2T + 8. Rearranging, we get 2R − 2T = 4, which simplifies to R − T = 2. Sufficient.
Answer: D
If Sam is twice as old as Ryan, by how many years is Ryan older than Tina?
From the above, we are given that S = 2R and are asked to find the value of R − T.
(1) Four years ago, Sam was twice as old as Tina is now.
This implies that S − 4 = 2T. Substituting S = 2R gives 2R − 4 = 2T. Rearranging, we get 2R − 2T = 4, which simplifies to R − T = 2. Sufficient.
(2) After four years, Sam will be twice as old as Tina.
This implies that S + 4 = 2(T + 4). Substituting S = 2R gives 2R + 4 = 2T + 8. Rearranging, we get 2R − 2T = 4, which simplifies to R − T = 2. Sufficient.
Answer: D
General Discussion
01 May 2025, 10:06
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Bunuel
Let the current ages of Sam , Ryan and Tina be S , R and T respectively.
Given S = 2R
To find : R vs T.
Statement 1:
(1) Four years ago, Sam was twice as old as Tina is now.
S-4 = 2T
S = 2T +4
2R = 2T + 4
R = T+2
Ryan is 2 yrs older than Tina. Hence, Sufficient
Statement 2:
(2) After four years, Sam will be twice as old as Tina.
S+4 = 2*(T+4)
S+4 = 2T + 8
S = 2T + 4
2R = 2T+4
R = T+2
Ryan is 2 yrs older than Tina. Hence, Sufficient.
Each statements are individually sufficient. Option D
