Ghanshyam is thrice as old as Akash. 10 years ago, Ghanshyam was four times as old as Akash. What is the difference between their current ages (in years)?

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Accepted Answer

Let Akash's current age be x years.
Ghanshyam's current age = 3x (since Ghanshyam is thrice as old as Akash).

10 years ago:
Akash's age = x - 10
Ghanshyam's age = 3x - 10

According to the problem, 10 years ago Ghanshyam was four times as old as Akash:
3x - 10 = 4(x - 10)
3x - 10 = 4x - 40

Bring all terms to one side:
3x - 10 - 4x + 40 = 0
- x + 30 = 0
x = 30

So, Akash's current age = 30 years
Ghanshyam's current age = 3 * 30 = 90 years

Difference in their current ages = 90 - 30 = 60 years

Rechecking the options, 60 is option 2, but the explanation shows 60, so the correct answer is 60.

Correction: The initial marking of option 3 (50) as correct was a mistake. The correct difference is 60 years.

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