Question : Directions: If the age of Rahul is 5 years more than his friend Ajay's age, the age of Rahul's wife is 6 years less than Rahul's, and Ajay's wife is 1 year older than Rahul's wife, then which of the following statements is true?
Option 1: Rahul's age and Ajay's wife's age are the same
Option 2: Ajay's wife's age and Ajay's age are the same
Option 3: Rahul and Ajay are of the same age
Option 4: Rahul's and Ajay's age difference is 3 years
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Correct Answer: Ajay's wife's age and Ajay's age are the same
Solution :
Given:
Let Ajay's age be x years.
Rahul's age = x + 5 years
Rahul's wife's age = x + 5 – 6 = x – 1 years
Ajay's wife's age = x – 1 + 1 = x years
Let's check the options –
First option:
Rahul's age and Ajay's wife's age are the same;
Rahul's age = x + 5 years, and Ajay's wife's age = x years. So, their age is not the same.
Second option:
Ajay's wife's age and Ajay's age are the same;
Ajay's wife's age = x years, and Ajay's age = x years. So, both of them have the same age.
Third option:
Rahul and Ajay are of the same age;
Rahul's age = x + 5 years, Ajay's age = x years. So, their age is not the same.
Fourth option:
Rahul's and Ajay's age difference is 3 years;
Rahul's age = x + 5 years, Ajay's age = x years. Their age difference is 5 years.
So, only the statement of the second option is true. Hence, the second option is correct.
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