Ritu is now four times as old as her brother Raju. In 4 years’ time, her age will be twice of Raju’s age. Thus Ritu’s current age is 8 years and Raju’s current age is 2 years. State whether this is true or false.

Ritu is now four times as old as her brother Raju. In 4 years’ time, her age will be twice of Raju's age. Thus Ritu's current age is 8 years and Raju’s current age is 2 years. State whether this is true or false.

1. A
True
2. B
False

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Solution:

The following table lists both their ages for easier comparison:
Ritu is currently 4 times as Raju:
After 4 years, her age will be twice of Raju's age:
Here, Substituting the value of x from equation (1) in equation (2):
Now, upon moving the variables on one side and the numbers on the other side:
Thus Ritu's current age is 8 years and Raju’s current age is 2 years.
So, the given statement is true.

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