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Q.

Five years ago, Arjun was three times Shriya's age today; he is now twice as old. What is the current age of Arjun and Shriya?


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a

20 years and 10 years

b

 20 years and 30 years

c

30 years and 20 years

d

10 years and 20 years 

answer is A.

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Detailed Solution

Concept: To begin resolving this issue, set Arjun's age to x and Shriya's age to y. Now, use Arjun and Shriya's ages to do several operations to find two relations that connect their ages. This approach makes it simple to determine what value x is. Thus, we may determine their current ages using this.
Let's say that Arjun is 'x' years old.
Shriya is the age of 'y' years.
As of right now, Arjun is twice as old as Shriya, according to the question. This provides the initial relation, from which we derive equation Question ImageQuestion Image.
5 years ago,
Age of Arjun Question Image.
Shriya's age Question Image.
Arjun's age was three times Shriya's five years ago, according to the query. This provides the second relation, from which we derive equation Question Image.
Question ImageEquation Question Image is formed by entering the value of x from equation Question Image.
Question ImageWhen Question Image is substituted in equation Question Image, the value of x is,
Question ImageAs a result, Arjun is currently 20 years old, while Shriya is 10 years old.
Hence, option 1 is correct.
 
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