ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

In a group the average age of 8 people increases by 2 years when two people whose ages were 35 years and 45 years are replaced by two women. Find the average age of 2 women.

Asked on by | Votes 0 | Views: 72 | Tags: average     | numerical ability     | Add Bounty

In a group the average age of 8 people increases by 2 years when two people whose ages were 35 years and 45 years are replaced by two women. Find the average age of 2 women.


1).

36 years


2).

48 years


3).

96 years


4).

41 years


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

2 vote
Answered by on | Votes 2 |

Suppose, the average age of the remaining 6 members is ‘x’ Then

⇒ Total age of 6 members = 6x

Average age of 8 members = (6x+35+45)/8 = (6x + 80)/8

Let the average age of the new women be ‘y’ years

Then, average age of 8 members with new women = (6x+2y)/8

Given, difference in averages = 2

∴ (6x+2y)/8 - (6x+80)/8 = 2

Solving, we get:

⇒ y = 48 years

∴ Average age of 2 women = 48 years

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (4+3)
Submit:

Other Questions

1. The average weight of 10 boys is increased by 1.5 kg when Arjun whose weight is 45 kg is replaced by Rohan. Find the weight of Rohan?

2. Directions: Below table shows the total budget allocated for six sectors in two successive years and distribution of budget to Rural and Urban areas out of total budget. Some data is missing in the table, student is expected to calculate that data as per the values given in the questions.

3. What will come in place of the question mark (?) in the following number series? 15, 21, 33, 51, 75, (?)

4. The original cost price of rice is Rs. _______ per kilogram. A reduction of price of rice in ratio 5 : 4, enables a person to purchase 6 kg more rice for Rs. 720.

5. A ball of lead 4 cm in diameter, is covered with gold. If the volume of gold and the lead are equal, what is the approximate thickness of gold? (Given 3√2 = 1.259)

6. What will come in place of question mark (?) in the following number series? 8000, 1600, ?, 192, 96, 57.6

7. The rates of interest offered by two banks BOI and SBI are 8% and 44% per annum at compound interest. Mohan deposits certain but different sum of money in both the banks. After three years, he received equal amounts from both the banks. The ratio of amounts invested in BOI and SBI respectively are:

8. If 65 : a ∷ 25 : 6, then a is equal to -

9. Direction: Each question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the average age of the children in a class? I. The age of the teacher is as many years as the number of children. II. The average age increases by 1 year if the teacher’s age is also included.

10. The sum of ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father’s age at that time. The present age of the father is