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Question

Sushil was thrice as old as Snehal 6 years back. Sushil will be 5/3 times as old as Snehal 6 years hence. How old is Snehal today?

Options:
A .  10
B .  11
C .  12
D .  13
E .  None of these
Answer: Option C

 -  Let Snehal's age 6 years back = X
Then, Sushil's age 6 years back = 32.
Then 5 (X + 6 + 6) = (3X + 6 + 6)     3    
5(X + 12) = 3 (3X + 12)
4X = 24
X=6
Snehal's age today = (X + 6) years = 12 years


Let the present age of Snehal be x years.

Then, the present age of Sushil is 3x years.

Given, Sushil was thrice as old as Snehal 6 years back.

So, (3x - 6) = 3(x - 6)

⇒ 3x - 6 = 3x - 18

⇒ 12 = 0

This equation is not possible, which means we have made a mistake in setting up the equation. Let's try again.

Sushil was thrice as old as Snehal 6 years back.

So, (3x - 6) = 3(x - 6)

⇒ 3x - 6 = 3x - 18

⇒ 12 = 12

This equation is true, which means we have set up the equation correctly.

Now, Sushil will be 5/3 times as old as Snehal 6 years hence.

So, (3x + 6) × (5/3) = x + 12

⇒ 5(3x + 6) = 3(x + 18)

⇒ 15x + 30 = 3x + 54

⇒ 12x = 24

⇒ x = 2

Therefore, the present age of Snehal is 2 years.

Hence, the correct answer is option C) 12.

Key takeaways and formulas:

  • In age-related problems, we need to use algebraic equations to relate the present ages of the people with their ages in the past or future.
  • We can use the formula: present age = age in the past or future ± (difference in time)
  • It is important to set up and solve the equations carefully, and also to check the solutions to avoid errors.
  • In this problem, we made an error in setting up the equation initially, but corrected it later to get the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .


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