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An uncle is 6 times as old as his nephew. In 6 years, the difference in their ages will be 30 years. What is the sum of their current ages (in years)?
Question

An uncle is 6 times as old as his nephew. In 6 years, the difference in their ages will be 30 years. What is the sum of their current ages (in years)?

A.

42

B.

48

C.

30

D.

36

Correct option is A

Given
Uncle's current age = 6 × Nephew's current age
Difference in their ages after 6 years = 30 years
Formula Used
The difference in ages between two people remains constant over time.
Solution
Let the current age of the nephew be x.
Then, the current age of the uncle is 6x.
Since the age difference is constant, the difference between their ages now is also 30 years.
6x - x = 30
5x = 30
x = 6
Nephew's current age = 6 years
Uncle's current age = 6 × 6 = 36 years
Sum of their current ages = 36 + 6 = 42 years
Final Answer
So the correct answer is (a)

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