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16 Sep 2014, 01:22
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If Roy is 3 years younger than his brother, how old is Roy?
(1) Two years ago, Roy's brother was twice as old as Roy.
(2) If Roy's brother had been born 2 years earlier, he would be twice as old as Roy now.
(1) Two years ago, Roy's brother was twice as old as Roy.
(2) If Roy's brother had been born 2 years earlier, he would be twice as old as Roy now.
16 Sep 2014, 01:22
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Official Solution:
If Roy is 3 years younger than his brother, how old is Roy?
Let's denote Roy's age as \(R\). His brother's age would be \(R + 3\).
(1) Two years ago, Roy's brother was twice as old as Roy.
This implies that \((R + 3) - 2 = 2(R - 2)\), which results in \(R = 5\). Sufficient.
(2) If Roy's brother had been born 2 years earlier, he would be twice as old as Roy now.
This implies that \((R + 3) + 2 = 2R\), which results in \(R = 5\). Sufficient.
Answer: D
If Roy is 3 years younger than his brother, how old is Roy?
Let's denote Roy's age as \(R\). His brother's age would be \(R + 3\).
(1) Two years ago, Roy's brother was twice as old as Roy.
This implies that \((R + 3) - 2 = 2(R - 2)\), which results in \(R = 5\). Sufficient.
(2) If Roy's brother had been born 2 years earlier, he would be twice as old as Roy now.
This implies that \((R + 3) + 2 = 2R\), which results in \(R = 5\). Sufficient.
Answer: D
22 Oct 2023, 12:52
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I've revised the question and solution, incorporating additional details for improved clarity. I trust this makes it more comprehensible.
