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 3 of 8.

Deepanshu said:   7 years ago
The ratio of their present age is 5:4.
After 3 years, the ratio become 11:9.

Now, the difference is not equal which is 6:5 this ratio should be equal whenever to ask such a question. When equal their ratio new ratio is;
10:8
And 11:9.
Then; 1=3.
And asked is 8*3=24.
(5)

Vinay biranje said:   8 years ago
Sameer and Anand age ratio is 5:4.

After 3 years.

Sameer and Anand age ration is 11:9.
The diffrence between presnet and after age is 6 & 5.
After cross multiplying to the difference of ratios samerr age 5x = 5*5 = 25.
Anand age 4x =6*4 = 24.

That's it.

Vamsi said:   6 months ago
@All.

Here's my solution:.

Here, We need Anand's age.
So first we check the multiple of 4 we get (24, 40) by using elimination.
After 3 years, the new ratio is 11:9 the options become (24+3, 40+3) = (27, 43) the 9 multiple is 27.
So the answer is 27.
(2)

Vijay said:   1 decade ago
In the answer column they put 24 as the answer, please answer to my doubt if anand current age is 24 (as specified) then 3 years later his age will be 21 then how will you specify the age 21 in 5:4. Can divide the age 21 by 4 ?

Harshitha.p said:   5 years ago
At last, they have multiplied with 4 that is 4x because they have considered the present age of Anand is 4x we have been asked to find present age of Anand that's why we have multiplied with 4 and we know x=6.

So, 4 * 6 = 24.
(2)

Vijay anand c said:   1 decade ago
@Iti and @Sriteja.

Hi friends since they have asked as 3 years ago we have to subtract it and not add.

A+B+C = 80,

Before 3 years or 3 years ago means,

A-3.
B-3.
C-3.

80-9 = 71.

So b4 3 years A+B+C = 71.

Anand said:   1 decade ago
2013(present age) = 5 : 4
2016(3 years hence) = 11:9

5x+3/4x+3 = 11/9.

Doing cross multiplication. You'll get value x=6.
We need to sent Anand's present age.

Anand's ratio = 4x.
4*6 = 24.
That the answer.

Pankaj said:   4 years ago
best tricks for this type of question;

5 :4.
11:9.

4(years Anand age question ask Anand age then multiply)*3(years hence)*2(11-9=2)/(5*9 cross multiply) - (11*4 cross multiply) = 24.

So, the answer = 24.
(10)

Lakshmi said:   1 year ago
Present ages:

Sameer = x.
Anand = y.

x/y = 5/4 -------->eq(1)

After 3 yrs:
x + 3/y + 3 = 11/9 -----------> eq(2)

Solving equations 1 and 2 we get,

9x - 11y = 6,
4x - 5y = 0,
x = 30 and y = 24.
(3)

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.


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