Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 5)
5.
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
24
27
40
Cannot be determined
None of these
Answer: Option
Explanation:

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.

Then, 5x + 3 = 11
4x + 3 9

9(5x + 3) = 11(4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Anand's present age = 4x = 24 years.

Discussion:
77 comments Page 4 of 8.

Raj said:   1 decade ago
I think here is an error in answer,

If anand present age is 24(as 4 * 6 = 24, sameer age would be 5 * 6 = 30), here as mentioned in the question the ratio of their present age should be 11/9, but here the ratio according to the ans would be 30/24=5/4(5:4)(as per present age).

But we need to get 11/9 as the ration.

Anands present age would be 4x + 3 = 4*6+3=24+3 = 27.
And Sameer present age would be 5x + 3 = 5*6+3 = 33.
Then the ratio will satisfy, as 33/27 = 11/9(11:9 present ratio).

Can anyone justify existing answer.

Jyoti bala said:   1 decade ago
Why we take x for both?. May we take 2 different variables. I m not getting really.

Aarti dike said:   1 decade ago
3(11-9)/5*9-11*4 = 6.

Sameer and Anand present ratio is 5:4.

6*4 = 24.

Sai said:   1 decade ago
Given ratios :

5:4 and 11:9 now.
3x2 (difference of 11:9)/45-44(5*9-4*11).
= 6x4 = 24 .

Krishna chaudhary said:   1 decade ago
@Vijay.

I think there is mistake in your solution.

According to me a = 50 and b = 20.

As the first equation can also be written as a-5 = 3(b-5).

To make it present 5 is subtracted both sides.

Pavan Nayak said:   1 decade ago
I think 27 is answer. Because, When you take present ratio as 11:9, Sameer age will be 33 and Anand age will be 27 (multiplied by 3). When you go back 3 years.

Their age will be 30 and 24 (divided by 6). So, it will be of ratio 5:4. which is correct ratio as given data. Explain if I am wrong.

Surya said:   10 years ago
All explanations are good but some errors are present.

Irene said:   10 years ago
Please help me, I still don't understand. How we got 11/9?

Inna Reddy Chilakala said:   10 years ago
Anand present age:

4*(11-9)*3/5*9-11*4 = 4*2*3/1 = 24.

J K Reddy said:   10 years ago
Dear all nice answer thank you.


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