Question 47

2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years. If the age of Paramita is also considered, the average age of three of them declines to 24. What will be the average age of Sumita and Paramita 3 years from now?

Solution

Let 'A', 'S' and 'P' be Amita's, Sumita's and Paramita's present age. 

It is given that 2 years ago, one-fifth of Amita’s age was equal to one-fourth of the age of Sumita, and the average of their age was 27 years.

$$\dfrac{(A-2)+(S-2)}{2} = 27$$

$$A+S = 58$$  ... (1)

Also, $$\dfrac{A-2}{5} = \dfrac{S-2}{4}$$

$$4A-8 = 5S-10$$

$$5S - 4A = 2$$ ... (2) 

From equation (1) and (2) we can say that S = 26, A = 32.

Average age of Amita, Sumita and Paramita before 2 years = 24. 

 $$\dfrac{(A-2)+(S-2)+(P-2)}{3} = 24$$

 $$A+S+P = 78$$. Hence, P = 20.

Therefore, the average age of Sumita and Paramita 3 years from now? = $$\dfrac{(S+3)+(P+3)}{2}$$ = $$\dfrac{(26+3)+(20+3)}{2}$$ = 26 years.

Hence, option B is the correct answer.

Your Doubts


Ask a Doubt (know more)

Drop Your File Here!

** You can Drag and Drop an Image in the above textarea
add image

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 170+ previous papers with solutions PDF
  • Top 5000+ MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App