Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. 10 years ago, Amit was 6 times as old as Rahul. At present, what is the age of Amit? I. After 3 years, the average age of Amit and Rahul will be 20 years. II. 6 years ago, Amit will be 2 times as old as Rahul.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. 10 years ago, Amit was 6 times as old as Rahul. At present, what is the age of Amit? I. After 3 years, the average age of Amit and Rahul will be 20 years. II. 6 years ago, Amit will be 2 times as old as Rahul. Correct Answer <span id="docs-internal-guid-7592a241-7fff-4803-fad4-afb3d437097b"><span style="font-size: 10.5pt; font-family: Arial; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">If the data either in </span><span style="font-size: 10.5pt; font-family: Arial; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">statement I alone or in statement II alone is sufficient</span><span style="font-size: 10.5pt; font-family: Arial; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> to answer the question.</span></span>
10 years ago, Amit : Rahul = 6 : 1
First condition,
After 3 years, average age of Amit and Rahul = 20 years
Average = /2 = 20
7x + 26 = 40
x = 2
Present age of amit = 6x + 10 = 22 years
Second condition,
{(6x + 4) / (x + 4)} = 2/1
6x + 4 = 2x + 8
4x = 4
x = 1
Present age of amit = 6x + 10 = 16 years
Data either in statement I alone or in statement II alone is sufficient to answer the question.