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 2 of 8.

Shaik hashma said:   6 years ago
Here, the present ratio is 5: 4, 5x:4x then after 3years means 5x+3/4x+3equalto 11/9 if we cross multiply this we got X value is 6 then substitute in 4x then 4*6 then 24.
(3)

Kumar said:   6 years ago
According to me, it is X=6.

Why multiply by 4(5:4)?

When the current ratio leads to multiplying by 9 (11:9), where they have asked to find the present age of Anand after 3years.
(1)

HARIPRASAD K N said:   7 years ago
Here 5:4 is taken with x variable 5X/4X but why the ratio after 3 years 11:9 is not taken with variable x as 11X/9X. Please clarify.
(1)

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)

Kplakshmi said:   7 years ago
@ Sonu.

The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.

~ the fraction of numerator and denominators are divided by the same number that's called x
P/Q=3x/4x(presentratio) Q's present age is 20.
4x =20 ; => x= 5.
after 5 years, (3x+5/4x+5) = 20/25.
Then the ratio is 4/5.

Sadiq said:   7 years ago
Why does 4x multiply by x = 6?

Rahul deb said:   7 years ago
The ratio of the present age of a and b is 7:4 after 2 years their ages will be in the ratio of 5:3 what will be the ratio of A's age after 5 years to B's age now?

Can anyone solve this?

Pandian thanikodi said:   7 years ago
@All.

Please tell me that how possible the age ration will change on years? if both are in 5/4 ratio means after three years they should be in 5/4 only, how possible to become 11/9.

Ajay said:   7 years ago
Four years back Sham's age was 3/4th of Ram's age that time. Four years from now, Sham's age would be 5/6th of Ram's age that time. What is Sham's age today?

Can anyone solve this?

Junaid said:   8 years ago
Let me make it simple for you guys.

First, solve make ratios then equation:
5:4, which is 5x for Sameer and 4x for Anand : 5x/4x.

Three years from now 5x+3/4x+3 =11/9, solving this equation you get x=4.
How put 4 back on x places which is 5(4)/4(4)= 30/24 you get,

Hence 30/24 divide by 6 you get 5/4 further if u add 3 years from now, which 33/27, divide it by 3 you get ratio of 11/9.


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