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.

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?

Samuel gbeneka said:   1 decade ago
It can also be solved using formula : bt(c - d)/ (ad - bc).

Where a = 5, b = 4, c = 11 and d = 9.

t = 3.

4* 3(11 - 9)/(5*9 - 4*11)= 12* 2/ 45- 44.

= 24/1= 24. So the answer is 24.

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?

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)

Siddharth said:   8 years ago
@Srinath.

Let present ages of Ganguly and Sachin be x & y respectively.
Product of extremes = Product of means.
6(y-1)=7(x-1) &.
7(y+4)=8(x+4).
x= 31 and y= 36.

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)

Rajshri Dubey said:   8 years ago
The ages of Nelson and Michael are in the ratio 3:5. After 9 years, the ratio of their ages will become 3:4. What is the present age of Michael?

Please explain this.

Sonu said:   8 years ago
The ratio between presents ages of Pand Q is 3:4 respectively. If Q, s present age is 20 years, what will be the ratio of ages after 5 years?

Can anyone solve this?
(1)

Ramakhanna said:   1 decade ago
Three years hence ======> three years from present age.

The dictionary meaning for the word "hence" is "FROM NOW".

I think this will be useful in calculations.


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